Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
11256803381250000 = 24 · 37 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1933050,1034445125] |
[a1,a2,a3,a4,a6] |
j |
37256083456/525 |
j-invariant |
L |
2.9470790191427 |
L(r)(E,1)/r! |
Ω |
0.36838487602887 |
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 |
29400r1 17640bd1 12600cb1 |
Quadratic twists by: -3 5 -7 |