Cremona's table of elliptic curves

1246 = 2 · 7 · 89

Field	Data	Notes
Atkin-Lehner	2+ 7+ 89-	Signs for the Atkin-Lehner involutions
Class	1246b	Isogeny class
Conductor	1246	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2105904344334476168 = 23 · 716 · 892	Discriminant
Eigenvalues	2+  2  2 7+  0  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10688944,-13455141672]	[a1,a2,a3,a4,a6]
j	135060446446118862609055753/2105904344334476168	j-invariant
L	2.0874028107278	L(r)(E,1)/r!
Ω	0.083496112429114	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9968o2 39872i2 11214m2 31150y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1246b2

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	2	+	0	4	2	-2	0	8	8	8	6	-2	8	-10	-6	4	-8	-8	-2	-8	-2	-	-2

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Quadratic twists for elliptic curve 1246b2

-4	8	-3	5	-7	89
9968o2	39872i2	11214m2	31150y2	8722j2	110894j2

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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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