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	3640g	Isogeny class
Conductor	3640	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-84766488934400 = -1 · 211 · 52 · 73 · 136	Discriminant
Eigenvalues	2+  0 5- 7- -2 13+ -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,10973,-21954]	[a1,a2,a3,a4,a6]
Generators	[6:210:1]	Generators of the group modulo torsion
j	71346044015118/41389887175	j-invariant
L	3.6417800079419	L(r)(E,1)/r!
Ω	0.3598749646804	Real period
R	3.3731901033795	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	7280f2 29120j2 32760bg2 18200n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3640g2

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

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Quadratic twists for elliptic curve 3640g2

-4	8	-3	5	-7	13
7280f2	29120j2	32760bg2	18200n2	25480b2	47320r2

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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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