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	26400s	Isogeny class
Conductor	26400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	178200000000 = 29 · 34 · 58 · 11	Discriminant
Eigenvalues	2+ 3- 5+  0 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-73408,-7679812]	[a1,a2,a3,a4,a6]
Generators	[-232542102:-4288787:1481544]	Generators of the group modulo torsion
j	5468520153032/22275	j-invariant
L	7.065696838077	L(r)(E,1)/r!
Ω	0.29004362198212	Real period
R	12.180403743739	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	26400bd4 52800d4 79200dd4 5280j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400s4

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

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Quadratic twists for elliptic curve 26400s4

-4	8	-3	5
26400bd4	52800d4	79200dd4	5280j2

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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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