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	11400j	Isogeny class
Conductor	11400	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	161280	Modular degree for the optimal curve
Δ	-4543820550000000000 = -1 · 210 · 314 · 511 · 19	Discriminant
Eigenvalues	2+ 3- 5+ -2  0  2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,348992,65085488]	[a1,a2,a3,a4,a6]
Generators	[4148:270000:1]	Generators of the group modulo torsion
j	293798043977756/283988784375	j-invariant
L	5.2092069324674	L(r)(E,1)/r!
Ω	0.16079555557045	Real period
R	1.1570164614996	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	22800b1 91200h1 34200cn1 2280f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400j1

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	0	2	-4	-	-4	-6	10	10	0	-4	-4	-10	-6	10	4	8	2	-6	-6	4	-2

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Quadratic twists for elliptic curve 11400j1

-4	8	-3	5
22800b1	91200h1	34200cn1	2280f1

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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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