Cremona's table of elliptic curves

6960 = 2⁴ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 29+	Signs for the Atkin-Lehner involutions
Class	6960ba	Isogeny class
Conductor	6960	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	43296768000 = 214 · 36 · 53 · 29	Discriminant
Eigenvalues	2- 3+ 5-  4  0 -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-920,-3600]	[a1,a2,a3,a4,a6]
Generators	[-20:80:1]	Generators of the group modulo torsion
j	21047437081/10570500	j-invariant
L	4.1284085432357	L(r)(E,1)/r!
Ω	0.91349554374099	Real period
R	0.75322544839296	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	870c1 27840dt1 20880cd1 34800db1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960ba1

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
-	+	-	4	0	-4	-6	-2	6	+	4	2	-12	-8	0	-6	-12	-4	-14	0	2	4	12	-12	-10

---

Quadratic twists for elliptic curve 6960ba1

-4	8	-3	5
870c1	27840dt1	20880cd1	34800db1

---

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