Atkin-Lehner |
2- 3- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35604f |
Isogeny class |
Conductor |
35604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8496 |
Modular degree for the optimal curve |
Δ |
-265321008 = -1 · 24 · 36 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-763] |
[a1,a2,a3,a4,a6] |
j |
2048000/22747 |
j-invariant |
L |
0.8585643533243 |
L(r)(E,1)/r! |
Ω |
0.85856435333165 |
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 |
3956d1 |
Quadratic twists by: -3 |