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	6720bc	Isogeny class
Conductor	6720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	537600000000 = 216 · 3 · 58 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2625,37023]	[a1,a2,a3,a4,a6]
j	30534944836/8203125	j-invariant
L	3.4543250800711	L(r)(E,1)/r!
Ω	0.86358127001778	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6720bn3 840b4 20160bl3 33600b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720bc4

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
+	-	-	-	0	2	6	4	4	-6	0	-6	6	4	8	-14	4	2	-12	-12	10	8	4	6	-14

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Quadratic twists for elliptic curve 6720bc4

-4	8	-3	5	-7
6720bn3	840b4	20160bl3	33600b3	47040e3

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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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