Atkin-Lehner |
2- 3+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73776i |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3626237952 = 218 · 32 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-384,0] |
[a1,a2,a3,a4,a6] |
j |
1532808577/885312 |
j-invariant |
L |
2.3552949893238 |
L(r)(E,1)/r! |
Ω |
1.1776474985787 |
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 |
9222i1 |
Quadratic twists by: -4 |