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	7920f	Isogeny class
Conductor	7920	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4096	Modular degree for the optimal curve
Δ	-721710000 = -1 · 24 · 38 · 54 · 11	Discriminant
Eigenvalues	2+ 3- 5+  4 11+  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,222,223]	[a1,a2,a3,a4,a6]
j	103737344/61875	j-invariant
L	1.9612012141814	L(r)(E,1)/r!
Ω	0.98060060709069	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	3960f1 31680ed1 2640n1 39600v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920f1

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

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Quadratic twists for elliptic curve 7920f1

-4	8	-3	5	-11
3960f1	31680ed1	2640n1	39600v1	87120bm1

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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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