Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742o |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
8730624 |
Modular degree for the optimal curve |
Δ |
-3.5303826195303E+22 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 5 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30173517,-64444946493] |
[a1,a2,a3,a4,a6] |
j |
-629421250658359789657/7314112946110464 |
j-invariant |
L |
3.7335370694338 |
L(r)(E,1)/r! |
Ω |
0.032185664389293 |
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 |
4134b1 |
Quadratic twists by: 13 |