Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598q |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4465152 |
Modular degree for the optimal curve |
Δ |
-1.4061426925259E+19 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 3 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7202946,-7441078143] |
[a1,a2,a3,a4,a6] |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
1.5666142674046 |
L(r)(E,1)/r! |
Ω |
0.046076890204979 |
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 |
3094g1 |
Quadratic twists by: 17 |