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	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-1802240 = -1 · 215 · 5 · 11	Discriminant
Eigenvalues	2- -1 5+  1 11-  2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16,-64]	[a1,a2,a3,a4,a6]
Generators	[8:16:1]	Generators of the group modulo torsion
j	-117649/440	j-invariant
L	2.0045110340001	L(r)(E,1)/r!
Ω	1.0869015844314	Real period
R	0.46106084090603	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	110b1 3520bd1 7920bf1 4400r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 880f1

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 880f1

-4	8	-3	5	-7	-11
110b1	3520bd1	7920bf1	4400r1	43120cp1	9680r1

---

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