Cremona's table of elliptic curves

1150 = 2 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	1150h	Isogeny class
Conductor	1150	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	15073280000 = 220 · 54 · 23	Discriminant
Eigenvalues	2-  0 5- -1 -3 -3 -8 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5005,137397]	[a1,a2,a3,a4,a6]
Generators	[39:0:1]	Generators of the group modulo torsion
j	22180666338225/24117248	j-invariant
L	3.3746782416848	L(r)(E,1)/r!
Ω	1.2405257968639	Real period
R	0.045339353283587	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	9200bh1 36800bh1 10350x1 1150a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1150h1

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
-	0	-	-1	-3	-3	-8	-7	+	7	10	4	11	5	-10	-6	-8	-8	0	10	-11	3	1	-6	14

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Quadratic twists for elliptic curve 1150h1

-4	8	-3	5	-7	-23
9200bh1	36800bh1	10350x1	1150a1	56350bt1	26450x1

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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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