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	7920v	Isogeny class
Conductor	7920	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-16727040000 = -1 · 213 · 33 · 54 · 112	Discriminant
Eigenvalues	2- 3+ 5+  0 11-  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,237,-6062]	[a1,a2,a3,a4,a6]
Generators	[39:250:1]	Generators of the group modulo torsion
j	13312053/151250	j-invariant
L	3.9984018209978	L(r)(E,1)/r!
Ω	0.6075335678487	Real period
R	1.6453419335973	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	990a2 31680ce2 7920w2 39600cc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920v2

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	-	0	-2	-2	6	-2	0	-6	-2	2	-2	-2	8	4	4	-2	-10	-4	12	0	-18

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Quadratic twists for elliptic curve 7920v2

-4	8	-3	5	-11
990a2	31680ce2	7920w2	39600cc2	87120ct2

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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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