Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725h |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1304324688281671875 = -1 · 3 · 56 · 78 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-143738,-58875094] |
[a1,a2,a3,a4,a6] |
Generators |
[23278:1232075:8] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
2.4891336932565 |
L(r)(E,1)/r! |
Ω |
0.11190795915293 |
Real period |
R |
5.5606717178779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3549c6 525b6 |
Quadratic twists by: 5 13 |