Cremona's table of elliptic curves

6720 = 2⁶ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	6720d	Isogeny class
Conductor	6720	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	406425600 = 212 · 34 · 52 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-201,585]	[a1,a2,a3,a4,a6]
Generators	[-7:40:1]	Generators of the group modulo torsion
j	220348864/99225	j-invariant
L	3.2763049153178	L(r)(E,1)/r!
Ω	1.5109339788664	Real period
R	1.0841985689461	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	6720v2 3360m1 20160cc2 33600cz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720d2

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

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Quadratic twists for elliptic curve 6720d2

-4	8	-3	5	-7
6720v2	3360m1	20160cc2	33600cz2	47040dk2

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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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