Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bn |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-416071728515625 = -1 · 3 · 511 · 75 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -3 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8376,-1025477] |
[a1,a2,a3,a4,a6] |
j |
-24606647689/157565625 |
j-invariant |
L |
0.88985937937665 |
L(r)(E,1)/r! |
Ω |
0.22246485371818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745j1 88725bs1 |
Quadratic twists by: 5 13 |