Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88725ba |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-14189290171875 = -1 · 310 · 56 · 7 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 0 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1192,180143] |
[a1,a2,a3,a4,a6] |
Generators |
[50210:602869:1000] |
Generators of the group modulo torsion |
j |
5451776/413343 |
j-invariant |
L |
11.306720925738 |
L(r)(E,1)/r! |
Ω |
0.53787641969112 |
Real period |
R |
5.2552596243228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3549b1 88725n1 |
Quadratic twists by: 5 13 |