Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200f |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
117649000000 = 26 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1225,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.7728344785067 |
L(r)(E,1)/r! |
Ω |
0.88641723926121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39200f1 78400gt2 1568g1 800a1 |
Quadratic twists by: -4 8 5 -7 |