Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347h |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57480192 |
Modular degree for the optimal curve |
Δ |
-4.1645200997274E+23 |
Discriminant |
Eigenvalues |
0 3+ -2 -5 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8059714329,278504219221139] |
[a1,a2,a3,a4,a6] |
j |
-462482914449031168/3326427 |
j-invariant |
L |
0.26026883843807 |
L(r)(E,1)/r! |
Ω |
0.065067209286976 |
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 |
61347g1 4719g1 |
Quadratic twists by: -11 13 |