Cremona's table of elliptic curves

1457 = 31 · 47

Field	Data	Notes
Atkin-Lehner	31- 47+	Signs for the Atkin-Lehner involutions
Class	1457a	Isogeny class
Conductor	1457	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-151270111 = -1 · 31 · 474	Discriminant
Eigenvalues	-1  0 -2  0  4 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,119,-344]	[a1,a2,a3,a4,a6]
j	187837175583/151270111	j-invariant
L	0.50712038515032	L(r)(E,1)/r!
Ω	1.0142407703006	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	23312i3 93248j3 13113h4 36425f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1457a4

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	0	-2	0	4	-6	2	-4	0	-6	-	6	10	-4	+	6	-4	14	4	0	6	4	0	18	2

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Quadratic twists for elliptic curve 1457a4

-4	8	-3	5	-7	-31	-47
23312i3	93248j3	13113h4	36425f3	71393c3	45167c3	68479a3

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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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