Atkin-Lehner |
3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725f |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-605966121826171875 = -1 · 37 · 513 · 613 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 4 -4 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-103575,39589281] |
[a1,a2,a3,a4,a6] |
j |
-10788001140736/53198671875 |
j-invariant |
L |
4.0191614499898 |
L(r)(E,1)/r! |
Ω |
0.25119759062436 |
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 |
4575e1 2745b1 |
Quadratic twists by: -3 5 |