Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825s |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
106401405236765625 = 322 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291155,-58324278] |
[a1,a2,a3,a4,a6] |
j |
239633492476897/9341138457 |
j-invariant |
L |
1.648163848199 |
L(r)(E,1)/r! |
Ω |
0.20602048095999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16275a4 1953d3 |
Quadratic twists by: -3 5 |