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	6930t	Isogeny class
Conductor	6930	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	750008064960 = 26 · 33 · 5 · 72 · 116	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4538,111161]	[a1,a2,a3,a4,a6]
j	382704614800227/27778076480	j-invariant
L	3.5244645237392	L(r)(E,1)/r!
Ω	0.88111613093481	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	55440bt2 6930e4 34650b2 48510ci2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930t2

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

---

Quadratic twists for elliptic curve 6930t2

-4	-3	5	-7	-11
55440bt2	6930e4	34650b2	48510ci2	76230b2

---

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