Cremona's table of elliptic curves

11680 = 2⁵ · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 73-	Signs for the Atkin-Lehner involutions
Class	11680c	Isogeny class
Conductor	11680	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	116800000 = 29 · 55 · 73	Discriminant
Eigenvalues	2+  1 5- -1  5  6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1000,-12500]	[a1,a2,a3,a4,a6]
Generators	[-150:25:8]	Generators of the group modulo torsion
j	216216072008/228125	j-invariant
L	5.9668013960295	L(r)(E,1)/r!
Ω	0.84896713989674	Real period
R	1.4056613302501	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	11680d1 23360u1 105120w1 58400n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11680c1

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	5	6	-2	-2	-4	-7	-4	-11	-3	-8	3	4	11	4	-7	9	-	-9	-14	-11	-8

---

Quadratic twists for elliptic curve 11680c1

-4	8	-3	5
11680d1	23360u1	105120w1	58400n1

---

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