Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320q |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5112021202560000 = 210 · 32 · 54 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192520,32395132] |
[a1,a2,a3,a4,a6] |
j |
868327204/5625 |
j-invariant |
L |
1.7334716284249 |
L(r)(E,1)/r! |
Ω |
0.43336783612654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120a3 |
Quadratic twists by: -31 |