Cremona's table of elliptic curves

10920 = 2³ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	10920r	Isogeny class
Conductor	10920	Conductor
∏ cp	480	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	150145120448341200 = 24 · 320 · 52 · 72 · 133	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-916791,337052970]	[a1,a2,a3,a4,a6]
Generators	[462:3510:1]	Generators of the group modulo torsion
j	5326172487431504287744/9384070028021325	j-invariant
L	5.4579570545051	L(r)(E,1)/r!
Ω	0.32534367009959	Real period
R	0.55919914397335	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	21840b1 87360bf1 32760u1 54600b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920r1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	-	0	-	2	4	0	-10	-8	-10	-2	-4	-4	-2	0	-2	-4	4	-14	-16	8	6	10

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Quadratic twists for elliptic curve 10920r1

-4	8	-3	5	-7
21840b1	87360bf1	32760u1	54600b1	76440cc1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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