Atkin-Lehner |
2- 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530ba |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
7299072 |
Modular degree for the optimal curve |
Δ |
1.8177176644485E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60019988,-178948072969] |
[a1,a2,a3,a4,a6] |
j |
32800758737633662546999801/2493439868928000000 |
j-invariant |
L |
4.7732066002522 |
L(r)(E,1)/r! |
Ω |
0.054240984067221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510f1 |
Quadratic twists by: -3 |