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	11400y	Isogeny class
Conductor	11400	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	-1759333500000000 = -1 · 28 · 33 · 59 · 194	Discriminant
Eigenvalues	2- 3+ 5+  0 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,16092,-1864188]	[a1,a2,a3,a4,a6]
Generators	[766:21432:1]	Generators of the group modulo torsion
j	115203799856/439833375	j-invariant
L	3.6731557811285	L(r)(E,1)/r!
Ω	0.23919219067822	Real period
R	3.8391259458696	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	22800u1 91200cn1 34200ba1 2280c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400y1

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	-4	2	2	-	-8	6	-8	10	-2	8	8	6	-8	-10	-4	16	6	-16	-4	6	-14

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Quadratic twists for elliptic curve 11400y1

-4	8	-3	5
22800u1	91200cn1	34200ba1	2280c1

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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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