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	288	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-116644922208000 = -1 · 28 · 312 · 53 · 193	Discriminant
Eigenvalues	2- 3- 5- -2 -4  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6572,479648]	[a1,a2,a3,a4,a6]
Generators	[-22:570:1]	Generators of the group modulo torsion
j	980844844912/3645153819	j-invariant
L	5.0545386399109	L(r)(E,1)/r!
Ω	0.41999592911055	Real period
R	0.16714906190398	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	22800k1 91200bs1 34200bo1 11400h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400bo1

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 11400bo1

-4	8	-3	5
22800k1	91200bs1	34200bo1	11400h1

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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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