Cremona's table of elliptic curves

11960 = 2³ · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+ 23+	Signs for the Atkin-Lehner involutions
Class	11960a	Isogeny class
Conductor	11960	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	102144	Modular degree for the optimal curve
Δ	-6950033740000000 = -1 · 28 · 57 · 134 · 233	Discriminant
Eigenvalues	2+  0 5+  3  2 13+  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-794468,272589892]	[a1,a2,a3,a4,a6]
Generators	[522:338:1]	Generators of the group modulo torsion
j	-216627193999441972224/27148569296875	j-invariant
L	4.6314565601472	L(r)(E,1)/r!
Ω	0.40447191608551	Real period
R	1.431328225755	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	23920b1 95680u1 107640be1 59800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11960a1

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
+	0	+	3	2	+	3	-2	+	-5	-7	3	-3	8	12	-1	-11	-4	3	-1	-10	8	15	-4	-14

---

Quadratic twists for elliptic curve 11960a1

-4	8	-3	5
23920b1	95680u1	107640be1	59800i1

---

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