Cremona's table of elliptic curves

Curve 5565d2

5565 = 3 · 5 · 7 · 53



Data for elliptic curve 5565d2

Field Data Notes
Atkin-Lehner 3+ 5- 7- 53- Signs for the Atkin-Lehner involutions
Class 5565d Isogeny class
Conductor 5565 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ 32791485168225 = 34 · 52 · 78 · 532 Discriminant
Eigenvalues -1 3+ 5- 7- -4 -2  2 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-119305,15809102] [a1,a2,a3,a4,a6]
j 187801853781525192721/32791485168225 j-invariant
L 0.63618858554734 L(r)(E,1)/r!
Ω 0.63618858554734 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 8 Number of elements in the torsion subgroup
Twists 89040cp2 16695j2 27825l2 38955k2 Quadratic twists by: -4 -3 5 -7


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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