Cremona's table of elliptic curves

3640 = 2³ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	3640c	Isogeny class
Conductor	3640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	159810560 = 210 · 5 · 74 · 13	Discriminant
Eigenvalues	2+  0 5+ 7-  0 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1403,-20218]	[a1,a2,a3,a4,a6]
j	298261205316/156065	j-invariant
L	1.5601946047955	L(r)(E,1)/r!
Ω	0.78009730239777	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	7280a4 29120bc4 32760bn4 18200m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3640c3

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	+	-	0	+	6	4	0	-2	-8	2	6	-4	-8	-10	4	14	4	12	-10	8	12	14	-2

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Quadratic twists for elliptic curve 3640c3

-4	8	-3	5	-7	13
7280a4	29120bc4	32760bn4	18200m3	25480e4	47320x4

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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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