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	6930k	Isogeny class
Conductor	6930	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	140040608400000000 = 210 · 310 · 58 · 72 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-5940009,5573682765]	[a1,a2,a3,a4,a6]
Generators	[1186:13407:1]	Generators of the group modulo torsion
j	31794905164720991157649/192099600000000	j-invariant
L	3.0609813201506	L(r)(E,1)/r!
Ω	0.29127197751259	Real period
R	0.65681338157956	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	55440ev2 2310r2 34650dk2 48510r2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930k2

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	8	0	2	-4	-2	2	4	4	-14	-4	14	12	8	-2	-8	-16	-2	2

---

Quadratic twists for elliptic curve 6930k2

-4	-3	5	-7	-11
55440ev2	2310r2	34650dk2	48510r2	76230ez2

---

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