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	26400bz	Isogeny class
Conductor	26400	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	26136000000000 = 212 · 33 · 59 · 112	Discriminant
Eigenvalues	2- 3- 5+ -4 11+ -4  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-449633,-116197137]	[a1,a2,a3,a4,a6]
Generators	[2113:91500:1]	Generators of the group modulo torsion
j	157079401546816/408375	j-invariant
L	5.2978913389046	L(r)(E,1)/r!
Ω	0.18436776774138	Real period
R	4.789242179555	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	26400k2 52800bm1 79200by2 5280d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400bz2

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	+	-4	2	6	-4	4	-4	6	0	-12	0	6	12	6	-4	-16	4	14	10	-14	2

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Quadratic twists for elliptic curve 26400bz2

-4	8	-3	5
26400k2	52800bm1	79200by2	5280d2

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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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