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	91200jd	Isogeny class
Conductor	91200	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	87313158144000 = 215 · 310 · 53 · 192	Discriminant
Eigenvalues	2- 3- 5-  2  2  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-75393,7930143]	[a1,a2,a3,a4,a6]
Generators	[189:-684:1]	Generators of the group modulo torsion
j	11570779013032/21316689	j-invariant
L	9.8059678456386	L(r)(E,1)/r!
Ω	0.60549622498872	Real period
R	0.80974640687393	Regulator
r	1	Rank of the group of rational points
S	0.99999999943215	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	91200gv2 45600bi2 91200hc2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 91200jd2

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

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Quadratic twists for elliptic curve 91200jd2

-4	8	5
91200gv2	45600bi2	91200hc2

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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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