Cremona's table of elliptic curves

1554 = 2 · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 37-	Signs for the Atkin-Lehner involutions
Class	1554c	Isogeny class
Conductor	1554	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	335664 = 24 · 34 · 7 · 37	Discriminant
Eigenvalues	2+ 3- -2 7+  0 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-22102,1262840]	[a1,a2,a3,a4,a6]
Generators	[49:521:1]	Generators of the group modulo torsion
j	1193961132635558617/335664	j-invariant
L	2.2100091927412	L(r)(E,1)/r!
Ω	1.8009892505777	Real period
R	2.4542169721804	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12432bl3 49728e4 4662l3 38850cb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554c3

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	+	0	-2	2	4	0	-6	0	-	-10	4	-8	-10	-8	-2	-4	-12	2	-8	-4	10	2

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Quadratic twists for elliptic curve 1554c3

-4	8	-3	5	-7	37
12432bl3	49728e4	4662l3	38850cb4	10878k3	57498r4

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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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