Cremona's table of elliptic curves

45936 = 2⁴ · 3² · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 29-	Signs for the Atkin-Lehner involutions
Class	45936bt	Isogeny class
Conductor	45936	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	230400	Modular degree for the optimal curve
Δ	-7584629447983104 = -1 · 227 · 311 · 11 · 29	Discriminant
Eigenvalues	2- 3- -1 -3 11- -1  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-84243,10301906]	[a1,a2,a3,a4,a6]
Generators	[185:1024:1]	Generators of the group modulo torsion
j	-22143063655441/2540077056	j-invariant
L	4.448492732029	L(r)(E,1)/r!
Ω	0.40559934486098	Real period
R	1.3709627457481	Regulator
r	1	Rank of the group of rational points
S	0.99999999999892	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5742e1 15312k1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 45936bt1

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
-	-	-1	-3	-	-1	2	-5	4	-	8	-7	8	-4	8	-9	10	2	7	-13	-6	-10	-11	5	-2

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Quadratic twists for elliptic curve 45936bt1

-4	-3
5742e1	15312k1

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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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