Atkin-Lehner |
5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325d |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5972621611328125 = 510 · 13 · 196 |
Discriminant |
Eigenvalues |
2 1 5+ -2 2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4587708,3780645619] |
[a1,a2,a3,a4,a6] |
j |
23242854400/13 |
j-invariant |
L |
2.7981969225906 |
L(r)(E,1)/r! |
Ω |
0.34977462657549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325w1 325e2 |
Quadratic twists by: 5 -19 |