Cremona's table of elliptic curves

7942 = 2 · 11 · 19²

Field	Data	Notes
Atkin-Lehner	2- 11+ 19+	Signs for the Atkin-Lehner involutions
Class	7942m	Isogeny class
Conductor	7942	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	13680	Modular degree for the optimal curve
Δ	747276773804 = 22 · 11 · 198	Discriminant
Eigenvalues	2-  2  1 -3 11+  4 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2715,34013]	[a1,a2,a3,a4,a6]
j	130321/44	j-invariant
L	4.9693843940093	L(r)(E,1)/r!
Ω	0.82823073233489	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	63536bh1 71478v1 87362g1 7942e1	Quadratic twists by: -4 -3 -11 -19

Hecke Eigenvalues for elliptic curve 7942m1

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	1	-3	+	4	-4	+	4	10	4	3	6	-4	6	-1	12	12	12	14	6	17	-13	-2	5

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Quadratic twists for elliptic curve 7942m1

-4	-3	-11	-19
63536bh1	71478v1	87362g1	7942e1

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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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