Cremona's table of elliptic curves

91200 = 2⁶ · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	91200h	Isogeny class
Conductor	91200	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2580480	Modular degree for the optimal curve
Δ	-2.908045152E+20	Discriminant
Eigenvalues	2+ 3+ 5+ -2  0 -2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1395967,519287937]	[a1,a2,a3,a4,a6]
Generators	[-623571:21984000:2197]	Generators of the group modulo torsion
j	293798043977756/283988784375	j-invariant
L	4.0861907872308	L(r)(E,1)/r!
Ω	0.11369962772852	Real period
R	8.9846177739762	Regulator
r	1	Rank of the group of rational points
S	1.0000000006104	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	91200ic1 11400j1 18240z1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 91200h1

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 91200h1

-4	8	5
91200ic1	11400j1	18240z1

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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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