Atkin-Lehner |
2+ 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450u |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-64434979233281250 = -1 · 2 · 312 · 57 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24724,12122948] |
[a1,a2,a3,a4,a6] |
Generators |
[78:3772:1] |
Generators of the group modulo torsion |
j |
106975701068111/4123838670930 |
j-invariant |
L |
5.4322380993076 |
L(r)(E,1)/r! |
Ω |
0.26396821666266 |
Real period |
R |
1.714928087654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490q4 |
Quadratic twists by: 5 |