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	32	Product of Tamagawa factors cp
Δ	65792250000000000 = 210 · 36 · 512 · 192	Discriminant
Eigenvalues	2- 3+ 5+  0 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-164408,-22441188]	[a1,a2,a3,a4,a6]
Generators	[22107:534014:27]	Generators of the group modulo torsion
j	30716746229956/4112015625	j-invariant
L	3.6731557811285	L(r)(E,1)/r!
Ω	0.23919219067822	Real period
R	7.6782518917393	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	22800u2 91200cn2 34200ba2 2280c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400y2

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 11400y2

-4	8	-3	5
22800u2	91200cn2	34200ba2	2280c2

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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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