Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525bi |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1164800 |
Modular degree for the optimal curve |
Δ |
1.0131513904354E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-545763,-25333344] |
[a1,a2,a3,a4,a6] |
j |
228099131/128547 |
j-invariant |
L |
0.37827713652988 |
L(r)(E,1)/r! |
Ω |
0.18913857987826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525cw1 84525dh1 |
Quadratic twists by: 5 -7 |