Atkin-Lehner |
3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7725i |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-59394990234375 = -1 · 310 · 510 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 6 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7799,-258577] |
[a1,a2,a3,a4,a6] |
j |
5373044975/6082047 |
j-invariant |
L |
3.3674194666855 |
L(r)(E,1)/r! |
Ω |
0.33674194666855 |
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 |
123600bc1 23175i1 7725f1 |
Quadratic twists by: -4 -3 5 |