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
deg	3456	Modular degree for the optimal curve
Δ	1323391247360 = 210 · 5 · 76 · 133	Discriminant
Eigenvalues	2+  0 5- 7- -2 13+ -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2747,-2746]	[a1,a2,a3,a4,a6]
Generators	[-50:98:1]	Generators of the group modulo torsion
j	2238719766084/1292374265	j-invariant
L	3.6417800079419	L(r)(E,1)/r!
Ω	0.7197499293608	Real period
R	1.6865950516898	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	7280f1 29120j1 32760bg1 18200n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3640g1

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 3640g1

-4	8	-3	5	-7	13
7280f1	29120j1	32760bg1	18200n1	25480b1	47320r1

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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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