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	1554a	Isogeny class
Conductor	1554	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	560	Modular degree for the optimal curve
Δ	-238793856 = -1 · 27 · 3 · 75 · 37	Discriminant
Eigenvalues	2+ 3+  1 7-  0 -2 -2 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,53,-707]	[a1,a2,a3,a4,a6]
Generators	[9:20:1]	Generators of the group modulo torsion
j	15983964359/238793856	j-invariant
L	1.9681475025714	L(r)(E,1)/r!
Ω	0.86039111193197	Real period
R	0.45750065877644	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	12432br1 49728ce1 4662p1 38850cj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554a1

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	-2	-7	4	0	-2	-	-9	-6	0	13	6	8	-9	3	-12	-16	-15	-4	1

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Quadratic twists for elliptic curve 1554a1

-4	8	-3	5	-7	37
12432br1	49728ce1	4662p1	38850cj1	10878r1	57498o1

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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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