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	6930bd	Isogeny class
Conductor	6930	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	102089603523600 = 24 · 316 · 52 · 72 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-15692,-575809]	[a1,a2,a3,a4,a6]
j	586145095611769/140040608400	j-invariant
L	3.4716526398936	L(r)(E,1)/r!
Ω	0.4339565799867	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	55440eu2 2310f2 34650y2 48510cs2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6930bd2

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

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Quadratic twists for elliptic curve 6930bd2

-4	-3	5	-7	-11
55440eu2	2310f2	34650y2	48510cs2	76230cj2

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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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