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	948a	Isogeny class
Conductor	948	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	126	Modular degree for the optimal curve
Δ	-2696112 = -1 · 24 · 33 · 792	Discriminant
Eigenvalues	2- 3+  2  0 -2  2  8  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-17,-78]	[a1,a2,a3,a4,a6]
j	-35995648/168507	j-invariant
L	1.5893820878183	L(r)(E,1)/r!
Ω	1.0595880585455	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3792e1 15168e1 2844b1 23700k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 948a1

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

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Quadratic twists for elliptic curve 948a1

-4	8	-3	5	-7	-11	-79
3792e1	15168e1	2844b1	23700k1	46452c1	114708e1	74892b1

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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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