Cremona's table of elliptic curves

26640 = 2⁴ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 37+	Signs for the Atkin-Lehner involutions
Class	26640bs	Isogeny class
Conductor	26640	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	698880	Modular degree for the optimal curve
Δ	5055174465300000000 = 28 · 36 · 58 · 375	Discriminant
Eigenvalues	2- 3- 5-  3  5  2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1975032,1062848844]	[a1,a2,a3,a4,a6]
j	4565397831743545344/27087483203125	j-invariant
L	3.9028825780203	L(r)(E,1)/r!
Ω	0.2439301611263	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6660c1 106560fd1 2960h1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26640bs1

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
-	-	-	3	5	2	-4	4	6	-6	4	+	9	-10	-11	11	-8	-8	8	3	7	-8	-9	16	12

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Quadratic twists for elliptic curve 26640bs1

-4	8	-3
6660c1	106560fd1	2960h1

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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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