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	1150d	Isogeny class
Conductor	1150	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	19010937500 = 22 · 58 · 233	Discriminant
Eigenvalues	2+ -2 5- -1  3 -1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-951,-9202]	[a1,a2,a3,a4,a6]
Generators	[-23:36:1]	Generators of the group modulo torsion
j	243135625/48668	j-invariant
L	1.4142944622209	L(r)(E,1)/r!
Ω	0.87186633733542	Real period
R	0.81107298312675	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	9200bg1 36800bs1 10350bs1 1150f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1150d1

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
+	-2	-	-1	3	-1	0	-1	-	-3	2	2	3	-1	0	-12	-6	2	8	-6	-7	-1	-9	-18	-4

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Quadratic twists for elliptic curve 1150d1

-4	8	-3	5	-7	-23
9200bg1	36800bs1	10350bs1	1150f1	56350ba1	26450k1

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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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