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	36300bm	Isogeny class
Conductor	36300	Conductor
∏ cp	102	Product of Tamagawa factors cp
deg	2056320	Modular degree for the optimal curve
Δ	-3.0519452583984E+20	Discriminant
Eigenvalues	2- 3- 5+  2 11-  4  7 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6823758,-6914506887]	[a1,a2,a3,a4,a6]
j	-1161633816071508736/10089075234375	j-invariant
L	4.7614446276738	L(r)(E,1)/r!
Ω	0.046680829683168	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	108900bz1 7260h1 36300bq1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 36300bm1

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	-	4	7	-4	9	4	7	-2	-2	12	-9	13	8	-5	-14	8	-8	9	-8	-6	14

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Quadratic twists for elliptic curve 36300bm1

-3	5	-11
108900bz1	7260h1	36300bq1

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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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