Cremona's table of elliptic curves

4960 = 2⁵ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	4960d	Isogeny class
Conductor	4960	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-49600 = -1 · 26 · 52 · 31	Discriminant
Eigenvalues	2-  0 5+  4  2 -6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,7,-8]	[a1,a2,a3,a4,a6]
Generators	[9:28:1]	Generators of the group modulo torsion
j	592704/775	j-invariant
L	3.8180322353355	L(r)(E,1)/r!
Ω	1.9038259061541	Real period
R	2.0054524013954	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	4960b1 9920bf1 44640x1 24800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4960d1

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

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Quadratic twists for elliptic curve 4960d1

-4	8	-3	5
4960b1	9920bf1	44640x1	24800d1

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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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