Cremona's table of elliptic curves

6930 = 2 · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	6930bb	Isogeny class
Conductor	6930	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	4096	Modular degree for the optimal curve
Δ	646652160 = 28 · 38 · 5 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-698,7161]	[a1,a2,a3,a4,a6]
Generators	[-7:111:1]	Generators of the group modulo torsion
j	51520374361/887040	j-invariant
L	5.8953837270926	L(r)(E,1)/r!
Ω	1.621569888674	Real period
R	0.4544503268306	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	55440cr1 2310d1 34650o1 48510ee1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bb1

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	-4	10	-4	-10	-6	4	0	2	0	-14	0	0	2	-8	-4	-18	2

---

Quadratic twists for elliptic curve 6930bb1

-4	-3	5	-7	-11
55440cr1	2310d1	34650o1	48510ee1	76230q1

---

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