Cremona's table of elliptic curves

11330 = 2 · 5 · 11 · 103

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 103-	Signs for the Atkin-Lehner involutions
Class	11330f	Isogeny class
Conductor	11330	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-1163535709600 = -1 · 25 · 52 · 113 · 1033	Discriminant
Eigenvalues	2+ -2 5+ -1 11- -1  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1679,-58398]	[a1,a2,a3,a4,a6]
Generators	[146:1604:1]	Generators of the group modulo torsion
j	-523002686860009/1163535709600	j-invariant
L	1.9247516352597	L(r)(E,1)/r!
Ω	0.3489936886323	Real period
R	2.7575737011215	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	90640i1 101970cf1 56650t1 124630x1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11330f1

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	-	-1	6	2	0	-3	-7	-7	6	5	-3	-9	-9	2	8	-9	11	-1	6	-6	5

---

Quadratic twists for elliptic curve 11330f1

-4	-3	5	-11
90640i1	101970cf1	56650t1	124630x1

---

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