Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525n |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1425600 |
Modular degree for the optimal curve |
Δ |
1132287754130859375 = 34 · 510 · 76 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -1 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-934700,-344422875] |
[a1,a2,a3,a4,a6] |
j |
78605490625/985527 |
j-invariant |
L |
0.30731990630028 |
L(r)(E,1)/r! |
Ω |
0.15365997537396 |
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 |
84525dg1 1725n1 |
Quadratic twists by: 5 -7 |