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	7920ba	Isogeny class
Conductor	7920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	103317437520 = 24 · 36 · 5 · 116	Discriminant
Eigenvalues	2- 3- 5+  4 11+ -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4008,-96433]	[a1,a2,a3,a4,a6]
Generators	[-87191:24426:2197]	Generators of the group modulo torsion
j	610462990336/8857805	j-invariant
L	4.411191119389	L(r)(E,1)/r!
Ω	0.60055010076599	Real period
R	7.345250818812	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	1980b3 31680ee3 880j3 39600dl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920ba3

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	+	-4	0	4	-6	6	-8	2	-6	-8	6	6	-12	2	10	-12	-16	-8	0	-6	14

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Quadratic twists for elliptic curve 7920ba3

-4	8	-3	5	-11
1980b3	31680ee3	880j3	39600dl3	87120ew3

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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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