Atkin-Lehner |
2- 3- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bj |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1787028443498571966 = 2 · 34 · 79 · 113 · 593 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-332924,36443346] |
[a1,a2,a3,a4,a6] |
j |
4080929624637399446977/1787028443498571966 |
j-invariant |
L |
8.5757299591964 |
L(r)(E,1)/r! |
Ω |
0.2382147210888 |
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 |
81774bh2 |
Quadratic twists by: -3 |