Cremona's table of elliptic curves

Curve 17986i1

17986 = 2 · 17 · 232



Data for elliptic curve 17986i1

Field Data Notes
Atkin-Lehner 2- 17- 23- Signs for the Atkin-Lehner involutions
Class 17986i Isogeny class
Conductor 17986 Conductor
∏ cp 6 Product of Tamagawa factors cp
deg 88704 Modular degree for the optimal curve
Δ -463056260792 = -1 · 23 · 17 · 237 Discriminant
Eigenvalues 2-  1  4 -3 -6  6 17-  3 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-31751,2175233] [a1,a2,a3,a4,a6]
j -23912763841/3128 j-invariant
L 5.4131135254087 L(r)(E,1)/r!
Ω 0.90218558756812 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 782b1 Quadratic twists by: -23


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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