Cremona's table of elliptic curves

1334 = 2 · 23 · 29

Field	Data	Notes
Atkin-Lehner	2+ 23- 29+	Signs for the Atkin-Lehner involutions
Class	1334b	Isogeny class
Conductor	1334	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-34421951708 = -1 · 22 · 233 · 294	Discriminant
Eigenvalues	2+  0  0  4  2  6  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-307,-9087]	[a1,a2,a3,a4,a6]
j	-3205784543625/34421951708	j-invariant
L	1.4825708999078	L(r)(E,1)/r!
Ω	0.49419029996927	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10672c1 42688g1 12006l1 33350h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1334b1

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
+	0	0	4	2	6	2	-2	-	+	0	4	-2	10	8	-8	-4	-8	2	-8	6	8	-6	6	18

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Quadratic twists for elliptic curve 1334b1

-4	8	-3	5	-7	-23	29
10672c1	42688g1	12006l1	33350h1	65366h1	30682a1	38686h1

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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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