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	5445i	Isogeny class
Conductor	5445	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-9669059250406875 = -1 · 38 · 54 · 119	Discriminant
Eigenvalues	1 3- 5- -2 11+  4  6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,45171,-2965572]	[a1,a2,a3,a4,a6]
Generators	[72:774:1]	Generators of the group modulo torsion
j	5929741/5625	j-invariant
L	4.7256579154503	L(r)(E,1)/r!
Ω	0.22332684840605	Real period
R	2.6450345923356	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	87120fb2 1815c2 27225be2 5445j2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5445i2

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	-	-	-2	+	4	6	-6	-4	-6	8	-6	6	-6	-8	-6	0	4	12	-8	16	2	0	-10	-6

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Quadratic twists for elliptic curve 5445i2

-4	-3	5	-11
87120fb2	1815c2	27225be2	5445j2

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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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