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
Δ	-35153160025570132 = -1 · 22 · 712 · 133 · 172	Discriminant
Eigenvalues	2- -2  0 7-  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,5202,-9019112]	[a1,a2,a3,a4,a6]
Generators	[212:1168:1]	Generators of the group modulo torsion
j	15567882240377375/35153160025570132	j-invariant
L	3.6799409861398	L(r)(E,1)/r!
Ω	0.17040055633511	Real period
R	0.59988409161821	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24752x4 99008bb4 27846t4 77350c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094i4

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 3094i4

-4	8	-3	5	-7	13	17
24752x4	99008bb4	27846t4	77350c4	21658r4	40222f4	52598u4

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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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