Cremona's table of elliptic curves

7920 = 2⁴ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	7920r	Isogeny class
Conductor	7920	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	-259815600 = -1 · 24 · 310 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5-  2 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-102,871]	[a1,a2,a3,a4,a6]
j	-10061824/22275	j-invariant
L	3.1018943421042	L(r)(E,1)/r!
Ω	1.5509471710521	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3960h1 31680cm1 2640g1 39600be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920r1

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
+	-	-	2	-	4	0	4	4	2	8	-2	6	6	-4	-6	-4	-6	0	-16	-4	8	6	-14	6

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Quadratic twists for elliptic curve 7920r1

-4	8	-3	5	-11
3960h1	31680cm1	2640g1	39600be1	87120ck1

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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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