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	6930h	Isogeny class
Conductor	6930	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	22148675668350 = 2 · 36 · 52 · 73 · 116	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11-  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-31680,2166426]	[a1,a2,a3,a4,a6]
j	4823468134087681/30382271150	j-invariant
L	1.3640416299134	L(r)(E,1)/r!
Ω	0.68202081495671	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440cp4 770g4 34650cz4 48510bw4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930h4

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	-6	2	6	0	8	8	0	-4	0	-12	-12	-10	-4	12	14	-10	0	18	8

---

Quadratic twists for elliptic curve 6930h4

-4	-3	5	-7	-11
55440cp4	770g4	34650cz4	48510bw4	76230dn4

---

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