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	26400ce	Isogeny class
Conductor	26400	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-10222080000 = -1 · 212 · 3 · 54 · 113	Discriminant
Eigenvalues	2- 3- 5- -3 11+ -4 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-833,-10737]	[a1,a2,a3,a4,a6]
j	-25000000/3993	j-invariant
L	0.88084482533878	L(r)(E,1)/r!
Ω	0.44042241266962	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	26400n1 52800bz1 79200cj1 26400e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400ce1

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	+	-4	-3	-5	7	-2	-4	-11	-1	-8	1	10	-5	10	6	-5	-2	-3	4	-14	-13

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Quadratic twists for elliptic curve 26400ce1

-4	8	-3	5
26400n1	52800bz1	79200cj1	26400e1

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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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