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	6960y	Isogeny class
Conductor	6960	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	516710400 = 213 · 3 · 52 · 292	Discriminant
Eigenvalues	2- 3+ 5- -2  2 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-560,-4800]	[a1,a2,a3,a4,a6]
Generators	[-14:10:1]	Generators of the group modulo torsion
j	4750104241/126150	j-invariant
L	3.5053782171351	L(r)(E,1)/r!
Ω	0.98286053737865	Real period
R	1.7832531085662	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	870h2 27840dr2 20880ca2 34800cv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960y2

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	6	-4	0	+	2	-10	0	4	8	10	0	-8	-8	-8	10	-10	6	8	-18

---

Quadratic twists for elliptic curve 6960y2

-4	8	-3	5
870h2	27840dr2	20880ca2	34800cv2

---

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