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	91200ex	Isogeny class
Conductor	91200	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	-4990464000 = -1 · 212 · 33 · 53 · 192	Discriminant
Eigenvalues	2+ 3- 5- -4  0 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-73,3383]	[a1,a2,a3,a4,a6]
Generators	[-13:48:1] [-7:60:1]	Generators of the group modulo torsion
j	-85184/9747	j-invariant
L	12.127048999069	L(r)(E,1)/r!
Ω	1.1208460228441	Real period
R	0.90162912297489	Regulator
r	2	Rank of the group of rational points
S	1.000000000022	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	91200bw1 45600bk1 91200ch1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 91200ex1

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
+	-	-	-4	0	-4	2	-	0	-6	-8	-4	-4	-10	-8	2	-10	-10	-4	-12	-8	-16	0	0	-6

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Quadratic twists for elliptic curve 91200ex1

-4	8	5
91200bw1	45600bk1	91200ch1

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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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