Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742l |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-16834176156665088 = -1 · 28 · 32 · 1310 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -4 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,56527,-3470641] |
[a1,a2,a3,a4,a6] |
j |
144896375/122112 |
j-invariant |
L |
3.4490423550355 |
L(r)(E,1)/r! |
Ω |
0.21556514724458 |
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 |
53742b1 |
Quadratic twists by: 13 |