Cremona's table of elliptic curves

26400 = 2⁵ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	26400bw	Isogeny class
Conductor	26400	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	209088000000 = 212 · 33 · 56 · 112	Discriminant
Eigenvalues	2- 3- 5+ -2 11+  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3233,-68337]	[a1,a2,a3,a4,a6]
Generators	[-38:33:1]	Generators of the group modulo torsion
j	58411072/3267	j-invariant
L	6.2005746604933	L(r)(E,1)/r!
Ω	0.63532932719269	Real period
R	1.6266038192328	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	26400bi2 52800ey1 79200bq2 1056b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400bw2

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

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Quadratic twists for elliptic curve 26400bw2

-4	8	-3	5
26400bi2	52800ey1	79200bq2	1056b2

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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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