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	26400c	Isogeny class
Conductor	26400	Conductor
∏ cp	8	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]
Generators	[461:9922:1]	Generators of the group modulo torsion
j	37259704/131769	j-invariant
L	4.7006013258373	L(r)(E,1)/r!
Ω	0.62043586127927	Real period
R	3.7881444474738	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	26400cb2 52800cr3 79200dx2 1056i4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400c2

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 26400c2

-4	8	-3	5
26400cb2	52800cr3	79200dx2	1056i4

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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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