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	64	Product of Tamagawa factors cp
Δ	1.7982842431641E+21	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6050889,5354872173]	[a1,a2,a3,a4,a6]
Generators	[1087:7269:1]	Generators of the group modulo torsion
j	33608860073906150870929/2466782226562500000	j-invariant
L	3.0609813201506	L(r)(E,1)/r!
Ω	0.14563598875629	Real period
R	1.3136267631591	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	55440ev3 2310r4 34650dk3 48510r3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930k3

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

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Quadratic twists for elliptic curve 6930k3

-4	-3	5	-7	-11
55440ev3	2310r4	34650dk3	48510r3	76230ez3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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