Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71825g |
Isogeny class |
Conductor |
71825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47885942481203125 = 56 · 139 · 172 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49507230,134088378272] |
[a1,a2,a3,a4,a6] |
Generators |
[4560:53743:1] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
1.0589214525512 |
L(r)(E,1)/r! |
Ω |
0.23876996101132 |
Real period |
R |
1.1087255781377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873b2 5525d2 |
Quadratic twists by: 5 13 |