Cremona's table of elliptic curves

1185 = 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	3- 5+ 79-	Signs for the Atkin-Lehner involutions
Class	1185d	Isogeny class
Conductor	1185	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	-349865325 = -1 · 311 · 52 · 79	Discriminant
Eigenvalues	-1 3- 5+ -1 -3  7 -5 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,159,-450]	[a1,a2,a3,a4,a6]
Generators	[33:-219:1]	Generators of the group modulo torsion
j	444369620591/349865325	j-invariant
L	1.8849460798543	L(r)(E,1)/r!
Ω	0.94811473116124	Real period
R	0.090368142641517	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	18960f1 75840o1 3555g1 5925b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1185d1

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	-	+	-1	-3	7	-5	-8	5	1	2	2	-6	-9	-2	-6	-6	12	-14	-12	1	-	-11	-18	13

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Quadratic twists for elliptic curve 1185d1

-4	8	-3	5	-7	-79
18960f1	75840o1	3555g1	5925b1	58065j1	93615d1

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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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