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	1554n	Isogeny class
Conductor	1554	Conductor
∏ cp	243	Product of Tamagawa factors cp
deg	3888	Modular degree for the optimal curve
Δ	-127896039936 = -1 · 29 · 39 · 73 · 37	Discriminant
Eigenvalues	2- 3- -3 7- -6 -4  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4767,127449]	[a1,a2,a3,a4,a6]
Generators	[-78:201:1]	Generators of the group modulo torsion
j	-11980221891814513/127896039936	j-invariant
L	3.9429768847052	L(r)(E,1)/r!
Ω	1.0468714252197	Real period
R	1.2554795140762	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	9	Number of elements in the torsion subgroup
Twists	12432bf1 49728q1 4662i1 38850d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554n1

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
-	-	-3	-	-6	-4	0	-7	6	-6	-4	-	-3	8	-6	-9	6	8	5	-9	2	8	-15	0	-1

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Quadratic twists for elliptic curve 1554n1

-4	8	-3	5	-7	37
12432bf1	49728q1	4662i1	38850d1	10878bi1	57498k1

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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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