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	210b	Isogeny class
Conductor	210	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-637994920500 = -1 · 22 · 312 · 53 · 74	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,1922,20756]	[a1,a2,a3,a4,a6]
j	785793873833639/637994920500	j-invariant
L	1.1766630746428	L(r)(E,1)/r!
Ω	0.5883315373214	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	12	Number of elements in the torsion subgroup
Twists	1680m5 6720f5 630i5 1050k5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210b5

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

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Quadratic twists for elliptic curve 210b5

-4	8	-3	5	-7	-11	13	17	-19	-23
1680m5	6720f5	630i5	1050k5	1470b5	25410ct4	35490cy4	60690a4	75810co4	111090r4

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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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