Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515f |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-203472930336990795 = -1 · 33 · 5 · 1311 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 5 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3416391,-2431757545] |
[a1,a2,a3,a4,a6] |
Generators |
[86997:3820519:27] |
Generators of the group modulo torsion |
j |
-913621755765293056/42154750755 |
j-invariant |
L |
5.914929848582 |
L(r)(E,1)/r! |
Ω |
0.0555234513173 |
Real period |
R |
8.8775248867955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655f1 |
Quadratic twists by: 13 |