Cremona's table of elliptic curves

3094 = 2 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 7- 13+ 17+	Signs for the Atkin-Lehner involutions
Class	3094f	Isogeny class
Conductor	3094	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-164947328 = -1 · 27 · 73 · 13 · 172	Discriminant
Eigenvalues	2- -1 -2 7-  1 13+ 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-139,825]	[a1,a2,a3,a4,a6]
Generators	[39:218:1]	Generators of the group modulo torsion
j	-297141543217/164947328	j-invariant
L	3.8209998573284	L(r)(E,1)/r!
Ω	1.6851254145945	Real period
R	0.053987784108722	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	24752q1 99008bf1 27846p1 77350i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094f1

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
-	-1	-2	-	1	+	+	8	-1	-8	1	-7	-5	6	-1	-4	0	-3	-13	6	-1	-7	-12	-14	-3

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Quadratic twists for elliptic curve 3094f1

-4	8	-3	5	-7	13	17
24752q1	99008bf1	27846p1	77350i1	21658bd1	40222a1	52598n1

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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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