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	7920i	Isogeny class
Conductor	7920	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	24576	Modular degree for the optimal curve
Δ	1729072818000 = 24 · 310 · 53 · 114	Discriminant
Eigenvalues	2+ 3- 5+  4 11- -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30738,2073287]	[a1,a2,a3,a4,a6]
Generators	[59:682:1]	Generators of the group modulo torsion
j	275361373935616/148240125	j-invariant
L	4.4600587697434	L(r)(E,1)/r!
Ω	0.82834713388915	Real period
R	2.6921435393898	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	3960c1 31680dq1 2640e1 39600bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920i1

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

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Quadratic twists for elliptic curve 7920i1

-4	8	-3	5	-11
3960c1	31680dq1	2640e1	39600bh1	87120bn1

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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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