Cremona's table of elliptic curves

1456 = 2⁴ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	1456h	Isogeny class
Conductor	1456	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-3086626816 = -1 · 212 · 73 · 133	Discriminant
Eigenvalues	2-  2 -3 7+  0 13- -6  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,203,-2499]	[a1,a2,a3,a4,a6]
Generators	[12:39:1]	Generators of the group modulo torsion
j	224755712/753571	j-invariant
L	3.1205641816132	L(r)(E,1)/r!
Ω	0.72520353064688	Real period
R	1.4343394875779	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	91b2 5824s2 13104bx2 36400bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1456h2

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	+	0	-	-6	7	-3	-9	-5	2	-6	1	-3	-9	0	-10	-14	6	11	1	-3	15	-1

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Quadratic twists for elliptic curve 1456h2

-4	8	-3	5	-7	13
91b2	5824s2	13104bx2	36400bz2	10192bb2	18928bb2

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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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