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	13454b	Isogeny class
Conductor	13454	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	309504	Modular degree for the optimal curve
Δ	-7.4291530965894E+19	Discriminant
Eigenvalues	2+  1  1 7-  4 -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,502102,-391388900]	[a1,a2,a3,a4,a6]
Generators	[27737952:753633484:35937]	Generators of the group modulo torsion
j	529475129/2809856	j-invariant
L	4.534388143642	L(r)(E,1)/r!
Ω	0.097394830552572	Real period
R	7.759460671434	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	107632h1 121086bh1 94178g1 13454c1	Quadratic twists by: -4 -3 -7 -31

Hecke Eigenvalues for elliptic curve 13454b1

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	1	-	4	-2	-2	-2	3	-9	-	2	-2	8	7	-2	6	-2	5	-6	1	-7	-13	17	-10

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Quadratic twists for elliptic curve 13454b1

-4	-3	-7	-31
107632h1	121086bh1	94178g1	13454c1

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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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