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	11400bb	Isogeny class
Conductor	11400	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	13195001250000 = 24 · 34 · 57 · 194	Discriminant
Eigenvalues	2- 3+ 5+ -4 -4 -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6383,91512]	[a1,a2,a3,a4,a6]
Generators	[-4:342:1]	Generators of the group modulo torsion
j	115060504576/52780005	j-invariant
L	2.9215332576215	L(r)(E,1)/r!
Ω	0.63441385827668	Real period
R	1.1512726351681	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	22800ba1 91200dl1 34200bg1 2280e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400bb1

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	6	8	-10	2	0	4	-2	-12	-2	-4	0	14	8	0	2	18

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Quadratic twists for elliptic curve 11400bb1

-4	8	-3	5
22800ba1	91200dl1	34200bg1	2280e1

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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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