Cremona's table of elliptic curves

645 = 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	3+ 5- 43+	Signs for the Atkin-Lehner involutions
Class	645b	Isogeny class
Conductor	645	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-6739605 = -1 · 36 · 5 · 432	Discriminant
Eigenvalues	1 3+ 5-  4 -2  2  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,3,126]	[a1,a2,a3,a4,a6]
j	1685159/6739605	j-invariant
L	1.8623340368723	L(r)(E,1)/r!
Ω	1.8623340368723	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	10320bj2 41280bh2 1935f2 3225g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 645b2

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
1	+	-	4	-2	2	0	6	0	10	8	-4	-10	+	0	12	-6	-10	12	4	-8	-16	-12	-10	6

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Quadratic twists for elliptic curve 645b2

-4	8	-3	5	-7	-11	13	-43
10320bj2	41280bh2	1935f2	3225g2	31605r2	78045j2	109005a2	27735i2

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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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