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	1554h	Isogeny class
Conductor	1554	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	1200	Modular degree for the optimal curve
Δ	-2757144096 = -1 · 25 · 35 · 7 · 373	Discriminant
Eigenvalues	2- 3+  1 7+ -4 -6  2 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-405,-4197]	[a1,a2,a3,a4,a6]
Generators	[27:60:1]	Generators of the group modulo torsion
j	-7347774183121/2757144096	j-invariant
L	3.4690673015347	L(r)(E,1)/r!
Ω	0.52234440443064	Real period
R	0.44275606567995	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	12432by1 49728bj1 4662d1 38850bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554h1

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	+	-4	-6	2	-1	-4	-8	6	-	-9	2	12	-9	10	-12	-5	5	-8	0	5	-12	19

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Quadratic twists for elliptic curve 1554h1

-4	8	-3	5	-7	37
12432by1	49728bj1	4662d1	38850bl1	10878bv1	57498a1

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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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