Atkin-Lehner |
3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025bq |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1171453735546875 = -1 · 315 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11- -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15633,1460916] |
[a1,a2,a3,a4,a6] |
j |
1483704815/4113747 |
j-invariant |
L |
1.3687840065089 |
L(r)(E,1)/r! |
Ω |
0.34219600168125 |
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 |
15675x1 47025bb1 |
Quadratic twists by: -3 5 |