Cremona's table of elliptic curves

4921 = 7 · 19 · 37

Field	Data	Notes
Atkin-Lehner	7- 19- 37+	Signs for the Atkin-Lehner involutions
Class	4921d	Isogeny class
Conductor	4921	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	-128000131 = -1 · 7 · 192 · 373	Discriminant
Eigenvalues	2  2 -3 7- -5  3  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,98,365]	[a1,a2,a3,a4,a6]
Generators	[186:965:8]	Generators of the group modulo torsion
j	103029788672/128000131	j-invariant
L	8.2119381985709	L(r)(E,1)/r!
Ω	1.2426398811714	Real period
R	3.3042309051074	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	78736k1 44289n1 123025j1 34447f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4921d1

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
2	2	-3	-	-5	3	2	-	-6	0	3	+	-4	2	-8	-9	5	-14	-7	1	-8	-6	0	7	13

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Quadratic twists for elliptic curve 4921d1

-4	-3	5	-7	-19
78736k1	44289n1	123025j1	34447f1	93499l1

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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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