Cremona's table of elliptic curves

4970 = 2 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 71+	Signs for the Atkin-Lehner involutions
Class	4970h	Isogeny class
Conductor	4970	Conductor
∏ cp	39	Product of Tamagawa factors cp
deg	2031120	Modular degree for the optimal curve
Δ	1.7500333147799E+26	Discriminant
Eigenvalues	2-  0 5+ 7+ -3  1  2  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-420841348,3261545624871]	[a1,a2,a3,a4,a6]
j	8242878914466665907735357674769/175003331477988988713697280	j-invariant
L	2.2257848724555	L(r)(E,1)/r!
Ω	0.057071406986038	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39760p1 44730q1 24850d1 34790x1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4970h1

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	+	+	-3	1	2	7	-7	6	1	-3	-5	11	-6	-2	6	14	2	+	9	-1	-6	-18	2

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Quadratic twists for elliptic curve 4970h1

-4	-3	5	-7
39760p1	44730q1	24850d1	34790x1

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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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