Cremona's table of elliptic curves

11400 = 2³ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	11400bo	Isogeny class
Conductor	11400	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	4389945247872000 = 210 · 36 · 53 · 196	Discriminant
Eigenvalues	2- 3- 5- -2 -4  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-66328,5728448]	[a1,a2,a3,a4,a6]
Generators	[8:2280:1]	Generators of the group modulo torsion
j	252122146858292/34296447249	j-invariant
L	5.0545386399109	L(r)(E,1)/r!
Ω	0.41999592911055	Real period
R	0.33429812380795	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	22800k2 91200bs2 34200bo2 11400h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400bo2

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

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Quadratic twists for elliptic curve 11400bo2

-4	8	-3	5
22800k2	91200bs2	34200bo2	11400h2

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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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