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	3094b	Isogeny class
Conductor	3094	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1402052288 = -1 · 26 · 73 · 13 · 173	Discriminant
Eigenvalues	2+  1  0 7-  3 13- 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,279,-84]	[a1,a2,a3,a4,a6]
Generators	[3:26:1]	Generators of the group modulo torsion
j	2414193248375/1402052288	j-invariant
L	3.0277201986492	L(r)(E,1)/r!
Ω	0.89958741673635	Real period
R	0.56094607785749	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	24752u2 99008v2 27846bn2 77350ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3094b2

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	0	-	3	-	+	-7	0	-6	2	-1	-6	-7	3	3	-12	2	-10	12	14	14	-15	3	2

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Quadratic twists for elliptic curve 3094b2

-4	8	-3	5	-7	13	17
24752u2	99008v2	27846bn2	77350ba2	21658h2	40222o2	52598f2

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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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