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	1150g	Isogeny class
Conductor	1150	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	588800 = 210 · 52 · 23	Discriminant
Eigenvalues	2- -2 5+ -1  5 -7  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-23,-23]	[a1,a2,a3,a4,a6]
Generators	[-2:5:1]	Generators of the group modulo torsion
j	53969305/23552	j-invariant
L	2.7142165038932	L(r)(E,1)/r!
Ω	2.2683407637248	Real period
R	0.11965647081333	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	9200u1 36800y1 10350h1 1150c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1150g1

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	5	-7	0	-7	-	5	-10	-2	3	-9	-8	-4	-2	-6	-8	-2	7	1	-17	6	-4

---

Quadratic twists for elliptic curve 1150g1

-4	8	-3	5	-7	-23
9200u1	36800y1	10350h1	1150c1	56350bq1	26450u1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations