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	3094i	Isogeny class
Conductor	3094	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	166643929088 = 212 · 72 · 132 · 173	Discriminant
Eigenvalues	2- -2  0 7-  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4738,123588]	[a1,a2,a3,a4,a6]
Generators	[-68:398:1]	Generators of the group modulo torsion
j	11762905557390625/166643929088	j-invariant
L	3.6799409861398	L(r)(E,1)/r!
Ω	1.0224033380107	Real period
R	0.89982613742731	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	24752x1 99008bb1 27846t1 77350c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094i1

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	-	0	-	-	-4	-6	-6	-4	8	12	-4	0	-6	12	-10	-4	0	-4	-10	-12	-6	8

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Quadratic twists for elliptic curve 3094i1

-4	8	-3	5	-7	13	17
24752x1	99008bb1	27846t1	77350c1	21658r1	40222f1	52598u1

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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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