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	26400x	Isogeny class
Conductor	26400	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	3333709317312000000 = 212 · 35 · 56 · 118	Discriminant
Eigenvalues	2+ 3- 5+  4 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-520433,-114916737]	[a1,a2,a3,a4,a6]
Generators	[-518:3993:1]	Generators of the group modulo torsion
j	243578556889408/52089208083	j-invariant
L	7.8858330126359	L(r)(E,1)/r!
Ω	0.18044270996862	Real period
R	1.0925674157198	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	26400bg3 52800t1 79200dq3 1056g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400x3

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
+	-	+	4	-	2	-2	-4	0	-6	-4	2	-6	-4	-8	6	-12	-10	4	0	-10	-12	12	10	-18

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Quadratic twists for elliptic curve 26400x3

-4	8	-3	5
26400bg3	52800t1	79200dq3	1056g3

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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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