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	11400h	Isogeny class
Conductor	11400	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	6.8592894498E+19	Discriminant
Eigenvalues	2+ 3+ 5-  2 -4 -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1658208,719372412]	[a1,a2,a3,a4,a6]
Generators	[498:4104:1]	Generators of the group modulo torsion
j	252122146858292/34296447249	j-invariant
L	3.8466298236786	L(r)(E,1)/r!
Ω	0.18782788955288	Real period
R	1.7066287976169	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	22800bj2 91200ef2 34200cz2 11400bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400h2

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

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Quadratic twists for elliptic curve 11400h2

-4	8	-3	5
22800bj2	91200ef2	34200cz2	11400bo2

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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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