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	26400bb	Isogeny class
Conductor	26400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	7128000000000 = 212 · 34 · 59 · 11	Discriminant
Eigenvalues	2+ 3- 5-  2 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8833,-295537]	[a1,a2,a3,a4,a6]
j	9528128/891	j-invariant
L	3.9632704896158	L(r)(E,1)/r!
Ω	0.49540881120197	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	26400bo2 52800bo1 79200ei2 26400bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400bb2

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	6	-4	8	-6	0	4	2	-2	0	0	-8	-10	8	8	14	0	-6	-6	12

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Quadratic twists for elliptic curve 26400bb2

-4	8	-3	5
26400bo2	52800bo1	79200ei2	26400bq2

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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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