Cremona's table of elliptic curves

26700 = 2² · 3 · 5² · 89

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 89+	Signs for the Atkin-Lehner involutions
Class	26700g	Isogeny class
Conductor	26700	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-58392900000000 = -1 · 28 · 38 · 58 · 89	Discriminant
Eigenvalues	2- 3- 5+  0 -4  4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,8492,-208012]	[a1,a2,a3,a4,a6]
Generators	[203:3150:1]	Generators of the group modulo torsion
j	16929437744/14598225	j-invariant
L	6.3173066120036	L(r)(E,1)/r!
Ω	0.34482107005198	Real period
R	2.2900669219007	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	106800z2 80100r2 5340b2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 26700g2

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	-4	4	-2	-4	-8	10	0	-4	6	8	2	6	-12	10	-2	4	-2	-4	0	+	18

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Quadratic twists for elliptic curve 26700g2

-4	-3	5
106800z2	80100r2	5340b2

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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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