Atkin-Lehner |
2- 3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352j |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
15079680 |
Modular degree for the optimal curve |
Δ |
7.7446915649251E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 3 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196575989,972729285117] |
[a1,a2,a3,a4,a6] |
Generators |
[-1925790:1159373769:1000] |
Generators of the group modulo torsion |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
6.1048172601012 |
L(r)(E,1)/r! |
Ω |
0.059505886558125 |
Real period |
R |
7.3279872117454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397b1 115056bd1 |
Quadratic twists by: -4 -3 |