Cremona's table of elliptic curves

13920 = 2⁵ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 29-	Signs for the Atkin-Lehner involutions
Class	13920o	Isogeny class
Conductor	13920	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-144322560 = -1 · 212 · 35 · 5 · 29	Discriminant
Eigenvalues	2+ 3- 5+ -4 -5  0  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,99,-405]	[a1,a2,a3,a4,a6]
Generators	[9:36:1]	Generators of the group modulo torsion
j	25934336/35235	j-invariant
L	4.2777650755033	L(r)(E,1)/r!
Ω	0.97709514411493	Real period
R	0.43780435316544	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13920w1 27840z1 41760bj1 69600bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13920o1

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
+	-	+	-4	-5	0	0	4	-1	-	10	11	-5	5	6	-9	-10	-6	-2	6	-15	12	13	-6	-13

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Quadratic twists for elliptic curve 13920o1

-4	8	-3	5
13920w1	27840z1	41760bj1	69600bg1

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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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