Cremona's table of elliptic curves

13454 = 2 · 7 · 31²

Field	Data	Notes
Atkin-Lehner	2- 7- 31-	Signs for the Atkin-Lehner involutions
Class	13454g	Isogeny class
Conductor	13454	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-72550323208881224 = -1 · 23 · 73 · 319	Discriminant
Eigenvalues	2- -1  3 7-  0  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,34576,12735129]	[a1,a2,a3,a4,a6]
j	5150827583/81746504	j-invariant
L	4.6234758822671	L(r)(E,1)/r!
Ω	0.25685977123706	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	107632g2 121086p2 94178x2 434b2	Quadratic twists by: -4 -3 -7 -31

Hecke Eigenvalues for elliptic curve 13454g2

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	3	-	0	4	6	2	3	-3	-	-2	12	10	3	-6	0	-8	-13	-12	-11	1	9	9	8

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Quadratic twists for elliptic curve 13454g2

-4	-3	-7	-31
107632g2	121086p2	94178x2	434b2

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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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