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	11400u	Isogeny class
Conductor	11400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	4210704000000 = 210 · 36 · 56 · 192	Discriminant
Eigenvalues	2- 3+ 5+  0  0 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4808,-80388]	[a1,a2,a3,a4,a6]
j	768400132/263169	j-invariant
L	1.1785778448372	L(r)(E,1)/r!
Ω	0.58928892241862	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	22800bb2 91200dm2 34200p2 456b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400u2

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

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Quadratic twists for elliptic curve 11400u2

-4	8	-3	5
22800bb2	91200dm2	34200p2	456b2

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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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