Atkin-Lehner |
3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725d |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-143047740234375 = -1 · 39 · 59 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11245,-349878] |
[a1,a2,a3,a4,a6] |
j |
13806727199/12558375 |
j-invariant |
L |
1.2737430264177 |
L(r)(E,1)/r! |
Ω |
0.31843575660442 |
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 |
4575a1 2745a1 |
Quadratic twists by: -3 5 |