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	154460436555152 = 24 · 76 · 136 · 17	Discriminant
Eigenvalues	2- -2  0 7-  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-38738,-2876300]	[a1,a2,a3,a4,a6]
Generators	[-126:154:1]	Generators of the group modulo torsion
j	6428890034697390625/154460436555152	j-invariant
L	3.6799409861398	L(r)(E,1)/r!
Ω	0.34080111267023	Real period
R	0.2999420458091	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	24752x3 99008bb3 27846t3 77350c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094i3

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 3094i3

-4	8	-3	5	-7	13	17
24752x3	99008bb3	27846t3	77350c3	21658r3	40222f3	52598u3

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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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