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	11400o	Isogeny class
Conductor	11400	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	120960	Modular degree for the optimal curve
Δ	2337356250000 = 24 · 39 · 58 · 19	Discriminant
Eigenvalues	2+ 3- 5-  1  4 -4 -8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1495708,703575713]	[a1,a2,a3,a4,a6]
Generators	[704:81:1]	Generators of the group modulo torsion
j	59208551269469440/373977	j-invariant
L	5.7021621513474	L(r)(E,1)/r!
Ω	0.56030411778601	Real period
R	0.56538364814758	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22800p1 91200cc1 34200ct1 11400w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11400o1

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
+	-	-	1	4	-4	-8	+	-6	5	8	4	3	-12	-6	1	9	-1	-2	-1	3	-10	-14	-1	6

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Quadratic twists for elliptic curve 11400o1

-4	8	-3	5
22800p1	91200cc1	34200ct1	11400w1

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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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