Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bq |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-831796875 = -1 · 32 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,217,719] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
425984/315 |
j-invariant |
L |
7.0991677229141 |
L(r)(E,1)/r! |
Ω |
1.0115910112659 |
Real period |
R |
0.8772280063483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745a1 88725bk1 |
Quadratic twists by: 5 13 |