Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cm |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1257676875 = 35 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -1 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1063,13142] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:65:1] [2:104:1] |
Generators of the group modulo torsion |
j |
1257715225/11907 |
j-invariant |
L |
8.7099816304011 |
L(r)(E,1)/r! |
Ω |
1.5392621576587 |
Real period |
R |
0.18861811133159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725d1 88725cb1 |
Quadratic twists by: 5 13 |