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	13454h	Isogeny class
Conductor	13454	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	65529324188666912 = 25 · 74 · 318	Discriminant
Eigenvalues	2-  2 -2 7-  2  4  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-133599,-14253595]	[a1,a2,a3,a4,a6]
j	297141543217/73835552	j-invariant
L	5.0852435783544	L(r)(E,1)/r!
Ω	0.25426217891772	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	107632j2 121086o2 94178bd2 434d2	Quadratic twists by: -4 -3 -7 -31

Hecke Eigenvalues for elliptic curve 13454h2

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	-	2	4	2	-8	0	0	-	8	6	-2	8	0	12	8	4	0	14	-4	-2	6	14

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Quadratic twists for elliptic curve 13454h2

-4	-3	-7	-31
107632j2	121086o2	94178bd2	434d2

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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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