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	8	Product of Tamagawa factors cp
Δ	40389516000000000 = 211 · 312 · 59 · 19	Discriminant
Eigenvalues	2- 3+ 5+  0 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2539408,-1556691188]	[a1,a2,a3,a4,a6]
Generators	[127544079:3204821242:59319]	Generators of the group modulo torsion
j	56594125707224978/1262172375	j-invariant
L	3.6731557811285	L(r)(E,1)/r!
Ω	0.11959609533911	Real period
R	15.356503783479	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	22800u4 91200cn4 34200ba4 2280c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400y3

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 11400y3

-4	8	-3	5
22800u4	91200cn4	34200ba4	2280c3

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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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