Cremona's table of elliptic curves

21210 = 2 · 3 · 5 · 7 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 101-	Signs for the Atkin-Lehner involutions
Class	21210y	Isogeny class
Conductor	21210	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	118272	Modular degree for the optimal curve
Δ	334992561684480 = 214 · 34 · 5 · 72 · 1013	Discriminant
Eigenvalues	2- 3+ 5- 7- -2 -2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-104635,12954185]	[a1,a2,a3,a4,a6]
Generators	[175:114:1]	Generators of the group modulo torsion
j	126693667292208110641/334992561684480	j-invariant
L	7.0365664954722	L(r)(E,1)/r!
Ω	0.5425942329893	Real period
R	0.30877087761924	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	63630n1 106050o1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 21210y1

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

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Quadratic twists for elliptic curve 21210y1

-3	5
63630n1	106050o1

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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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