Atkin-Lehner |
3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585t |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-5.2313833962088E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 5 -1 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-612005,-393975994] |
[a1,a2,a3,a4,a6] |
j |
-5252054436020224/10838181904875 |
j-invariant |
L |
4.8058588692492 |
L(r)(E,1)/r! |
Ω |
0.080097648796944 |
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 |
6045f1 |
Quadratic twists by: 13 |