Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382i |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3154176 |
Modular degree for the optimal curve |
Δ |
-6.8412078985958E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 11+ 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22085685,39957286837] |
[a1,a2,a3,a4,a6] |
j |
-1227865396922313997931/70506183131136 |
j-invariant |
L |
1.4783975076936 |
L(r)(E,1)/r! |
Ω |
0.1847996884766 |
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 |
13794v1 41382bq1 |
Quadratic twists by: -3 -11 |