Cremona's table of elliptic curves

210 = 2 · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	210a	Isogeny class
Conductor	210	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-13565917968750 = -1 · 2 · 34 · 512 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,729,-176985]	[a1,a2,a3,a4,a6]
j	42841933504271/13565917968750	j-invariant
L	1.9904248603555	L(r)(E,1)/r!
Ω	0.33173747672592	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	1680k8 6720l8 630f8 1050a8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210a8

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	0	-6	-4	2	6	8	-12	6	-12	2	8	0	14	-16	12	6	14

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Quadratic twists for elliptic curve 210a8

-4	8	-3	5	-7	-11	13	17	-19	-23
1680k8	6720l8	630f8	1050a8	1470m8	25410v7	35490bm7	60690bl7	75810l7	111090dd7

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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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