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	26400cb	Isogeny class
Conductor	26400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1054152000000 = -1 · 29 · 32 · 56 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11-  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1392,-44712]	[a1,a2,a3,a4,a6]
j	37259704/131769	j-invariant
L	3.5610073729449	L(r)(E,1)/r!
Ω	0.44512592161814	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26400c2 52800g3 79200w2 1056c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400cb2

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	-	6	-2	4	-4	2	4	2	10	-4	-4	-6	12	-6	-4	4	-10	16	4	10	-2

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Quadratic twists for elliptic curve 26400cb2

-4	8	-3	5
26400c2	52800g3	79200w2	1056c4

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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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