Cremona's table of elliptic curves

11110 = 2 · 5 · 11 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 101-	Signs for the Atkin-Lehner involutions
Class	11110j	Isogeny class
Conductor	11110	Conductor
∏ cp	100	Product of Tamagawa factors cp
deg	16000	Modular degree for the optimal curve
Δ	-3640524800000 = -1 · 220 · 55 · 11 · 101	Discriminant
Eigenvalues	2- -1 5- -2 11- -1 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-7865,280455]	[a1,a2,a3,a4,a6]
Generators	[-57:768:1]	Generators of the group modulo torsion
j	-53805087768191761/3640524800000	j-invariant
L	5.5474044028244	L(r)(E,1)/r!
Ω	0.7755294504327	Real period
R	1.7882636177547	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	88880q1 99990g1 55550f1 122210e1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11110j1

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	-	-2	-	-1	-2	0	4	5	-3	-2	-3	-1	8	-6	0	7	-12	-3	4	-10	4	0	8

---

Quadratic twists for elliptic curve 11110j1

-4	-3	5	-11
88880q1	99990g1	55550f1	122210e1

---

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