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	56	Product of Tamagawa factors cp
Δ	2.467209375E+20	Discriminant
Eigenvalues	2+ 3- 5+ -2  0  2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1838008,589965488]	[a1,a2,a3,a4,a6]
Generators	[-37:25650:1]	Generators of the group modulo torsion
j	21459330184836962/7710029296875	j-invariant
L	5.2092069324674	L(r)(E,1)/r!
Ω	0.16079555557045	Real period
R	2.3140329229992	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	22800b2 91200h2 34200cn2 2280f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400j2

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 11400j2

-4	8	-3	5
22800b2	91200h2	34200cn2	2280f2

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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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