Cremona's table of elliptic curves

420 = 2² · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	420c	Isogeny class
Conductor	420	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	257250000 = 24 · 3 · 56 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7-  6 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-301,-1960]	[a1,a2,a3,a4,a6]
j	189123395584/16078125	j-invariant
L	1.7281211109508	L(r)(E,1)/r!
Ω	1.1520807406339	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	1680l3 6720o3 1260j3 2100b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 420c3

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
-	-	+	-	6	-4	6	2	0	6	-10	2	-6	-4	0	-12	0	14	-4	6	-4	-16	-12	6	-16

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Quadratic twists for elliptic curve 420c3

-4	8	-3	5	-7	-11	13	17
1680l3	6720o3	1260j3	2100b3	2940f3	50820p3	70980ba3	121380o3

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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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