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	6960j	Isogeny class
Conductor	6960	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-209675687883494400 = -1 · 210 · 324 · 52 · 29	Discriminant
Eigenvalues	2+ 3+ 5-  0  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-161680,-33285200]	[a1,a2,a3,a4,a6]
Generators	[71453336473255:-1259094619479060:111076545943]	Generators of the group modulo torsion
j	-456452240483695684/204761413948725	j-invariant
L	3.8103105122362	L(r)(E,1)/r!
Ω	0.11651538741537	Real period
R	16.351104333768	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	3480s4 27840dh3 20880i4 34800be3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960j4

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	4	-2	-6	-4	8	-	-8	-2	2	4	8	-10	4	-10	4	-8	-6	-8	-4	-14	2

---

Quadratic twists for elliptic curve 6960j4

-4	8	-3	5
3480s4	27840dh3	20880i4	34800be3

---

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