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	11400bd	Isogeny class
Conductor	11400	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4352	Modular degree for the optimal curve
Δ	-138624000 = -1 · 210 · 3 · 53 · 192	Discriminant
Eigenvalues	2- 3+ 5-  4  0  0  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-248,1692]	[a1,a2,a3,a4,a6]
Generators	[1:38:1]	Generators of the group modulo torsion
j	-13231796/1083	j-invariant
L	4.6073255609593	L(r)(E,1)/r!
Ω	1.8039154325606	Real period
R	1.2770347982497	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	22800bo1 91200eu1 34200bl1 11400q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400bd1

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

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Quadratic twists for elliptic curve 11400bd1

-4	8	-3	5
22800bo1	91200eu1	34200bl1	11400q1

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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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