Cremona's table of elliptic curves

7420 = 2² · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 53+	Signs for the Atkin-Lehner involutions
Class	7420b	Isogeny class
Conductor	7420	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	119664	Modular degree for the optimal curve
Δ	-9831500000000 = -1 · 28 · 59 · 7 · 532	Discriminant
Eigenvalues	2- -3 5+ 7-  3  1  7 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-853408,303447268]	[a1,a2,a3,a4,a6]
Generators	[536:106:1]	Generators of the group modulo torsion
j	-268505926473006710784/38404296875	j-invariant
L	2.5229777810222	L(r)(E,1)/r!
Ω	0.56668683873062	Real period
R	0.74202587407704	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29680h1 118720n1 66780o1 37100e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7420b1

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
-	-3	+	-	3	1	7	-6	-4	3	-10	0	0	-8	7	+	-6	-12	2	16	-2	7	-12	-6	-1

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Quadratic twists for elliptic curve 7420b1

-4	8	-3	5	-7
29680h1	118720n1	66780o1	37100e1	51940h1

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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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