Cremona's table of elliptic curves

36300 = 2² · 3 · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	36300ce	Isogeny class
Conductor	36300	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	60480	Modular degree for the optimal curve
Δ	-12353343750000 = -1 · 24 · 33 · 59 · 114	Discriminant
Eigenvalues	2- 3- 5-  0 11- -4  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,5042,99713]	[a1,a2,a3,a4,a6]
Generators	[8:375:1]	Generators of the group modulo torsion
j	30976/27	j-invariant
L	7.080882327462	L(r)(E,1)/r!
Ω	0.46314536328844	Real period
R	0.84937124001961	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	108900dg1 36300w1 36300cd1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 36300ce1

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
-	-	-	0	-	-4	3	4	-1	2	7	-8	-8	6	1	-9	6	-7	-6	6	0	-9	-4	-12	-6

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Quadratic twists for elliptic curve 36300ce1

-3	5	-11
108900dg1	36300w1	36300cd1

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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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