Cremona's table of elliptic curves

5445 = 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	5445d	Isogeny class
Conductor	5445	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	31680	Modular degree for the optimal curve
Δ	-105480646368075 = -1 · 39 · 52 · 118	Discriminant
Eigenvalues	-2 3+ 5-  3 11-  2 -6  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-35937,2668322]	[a1,a2,a3,a4,a6]
Generators	[0:1633:1]	Generators of the group modulo torsion
j	-1216512/25	j-invariant
L	2.4370041359319	L(r)(E,1)/r!
Ω	0.59571630124292	Real period
R	0.34090669933089	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	87120do1 5445a1 27225o1 5445c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5445d1

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	+	-	3	-	2	-6	5	4	-6	-5	-11	-4	4	-6	-8	-2	-1	-7	-10	11	-1	-10	-14	-17

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Quadratic twists for elliptic curve 5445d1

-4	-3	5	-11
87120do1	5445a1	27225o1	5445c1

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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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