Cremona's table of elliptic curves

880 = 2⁴ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	880f	Isogeny class
Conductor	880	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1362944000 = -1 · 213 · 53 · 113	Discriminant
Eigenvalues	2- -1 5+  1 11-  2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,144,1600]	[a1,a2,a3,a4,a6]
Generators	[16:-88:1]	Generators of the group modulo torsion
j	80062991/332750	j-invariant
L	2.0045110340001	L(r)(E,1)/r!
Ω	1.0869015844314	Real period
R	0.15368694696868	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	110b2 3520bd2 7920bf2 4400r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 880f2

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	+	1	-	2	-3	1	-6	-9	-5	5	-6	-8	-6	9	-6	5	-8	9	-10	-14	6	-15	8

---

Quadratic twists for elliptic curve 880f2

-4	8	-3	5	-7	-11
110b2	3520bd2	7920bf2	4400r2	43120cp2	9680r2

---

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