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	6930o	Isogeny class
Conductor	6930	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-79594839843750000 = -1 · 24 · 37 · 512 · 7 · 113	Discriminant
Eigenvalues	2+ 3- 5- 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-182259,32927013]	[a1,a2,a3,a4,a6]
Generators	[-258:8049:1]	Generators of the group modulo torsion
j	-918468938249433649/109183593750000	j-invariant
L	3.3987132772052	L(r)(E,1)/r!
Ω	0.33315576776726	Real period
R	1.275196772062	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440dz3 2310t3 34650da3 48510ba3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930o3

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

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Quadratic twists for elliptic curve 6930o3

-4	-3	5	-7	-11
55440dz3	2310t3	34650da3	48510ba3	76230ej3

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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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