Cremona's table of elliptic curves

948 = 2² · 3 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 79-	Signs for the Atkin-Lehner involutions
Class	948c	Isogeny class
Conductor	948	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-546048 = -1 · 28 · 33 · 79	Discriminant
Eigenvalues	2- 3-  0 -1  3  5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,12,36]	[a1,a2,a3,a4,a6]
j	686000/2133	j-invariant
L	2.0612524125652	L(r)(E,1)/r!
Ω	2.0612524125652	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3792c1 15168a1 2844d1 23700d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 948c1

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	-1	3	5	-3	2	-3	9	2	8	6	11	-6	6	-6	-10	8	-12	11	-	-3	-12	-1

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Quadratic twists for elliptic curve 948c1

-4	8	-3	5	-7	-11	-79
3792c1	15168a1	2844d1	23700d1	46452a1	114708i1	74892a1

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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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