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	6960x	Isogeny class
Conductor	6960	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	261584640000000000 = 217 · 35 · 510 · 292	Discriminant
Eigenvalues	2- 3+ 5-  2 -2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-693760,-220817408]	[a1,a2,a3,a4,a6]
Generators	[-486:1150:1]	Generators of the group modulo torsion
j	9015548596898711041/63863437500000	j-invariant
L	4.022178315645	L(r)(E,1)/r!
Ω	0.16549413468688	Real period
R	2.4304053574195	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	870i2 27840dp2 20880by2 34800cy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960x2

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

---

Quadratic twists for elliptic curve 6960x2

-4	8	-3	5
870i2	27840dp2	20880by2	34800cy2

---

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