Atkin-Lehner |
3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5175c |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-96822253177734375 = -1 · 311 · 59 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,102708,-8001509] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
0.37425119890875 |
L(r)(E,1)/r! |
Ω |
0.18712559945437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800eq1 1725g1 1035g1 119025bc1 |
Quadratic twists by: -4 -3 5 -23 |