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	3094d	Isogeny class
Conductor	3094	Conductor
∏ cp	23	Product of Tamagawa factors cp
deg	30360	Modular degree for the optimal curve
Δ	-5265735962066944 = -1 · 223 · 75 · 133 · 17	Discriminant
Eigenvalues	2-  2  3 7+  4 13+ 17+  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,41996,-1085387]	[a1,a2,a3,a4,a6]
j	8191187117050762943/5265735962066944	j-invariant
L	5.6623611183782	L(r)(E,1)/r!
Ω	0.24618961384253	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	24752ba1 99008p1 27846j1 77350r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094d1

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	3	+	4	+	+	6	-2	7	0	-10	-8	-12	3	2	-8	0	1	9	16	6	-8	3	12

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Quadratic twists for elliptic curve 3094d1

-4	8	-3	5	-7	13	17
24752ba1	99008p1	27846j1	77350r1	21658bg1	40222k1	52598bb1

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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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