Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725d |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
19651201171875 = 35 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -1 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26575,1642750] |
[a1,a2,a3,a4,a6] |
Generators |
[86:8:1] |
Generators of the group modulo torsion |
j |
1257715225/11907 |
j-invariant |
L |
5.7010680467722 |
L(r)(E,1)/r! |
Ω |
0.68837896394356 |
Real period |
R |
4.1409371513744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725cm1 88725u1 |
Quadratic twists by: 5 13 |