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	91200hq	Isogeny class
Conductor	91200	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	1382400	Modular degree for the optimal curve
Δ	-1829583811982131200 = -1 · 228 · 315 · 52 · 19	Discriminant
Eigenvalues	2- 3- 5+  2 -3  6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,305407,-3766017]	[a1,a2,a3,a4,a6]
Generators	[529:17496:1]	Generators of the group modulo torsion
j	480705753733655/279172334592	j-invariant
L	9.4625813155865	L(r)(E,1)/r!
Ω	0.15646242644426	Real period
R	2.0159432798013	Regulator
r	1	Rank of the group of rational points
S	1.0000000001728	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	91200bg1 22800cd1 91200gw2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 91200hq1

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	-3	6	-2	+	1	5	-7	2	2	-6	12	-9	-10	13	-7	-12	9	-5	-1	5	-12

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Quadratic twists for elliptic curve 91200hq1

-4	8	5
91200bg1	22800cd1	91200gw2

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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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