Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552r |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
-8695584276992 = -1 · 29 · 198 |
Discriminant |
Eigenvalues |
2- -3 2 2 3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,-260642] |
[a1,a2,a3,a4,a6] |
j |
-4104 |
j-invariant |
L |
1.553841283312 |
L(r)(E,1)/r! |
Ω |
0.25897354721867 |
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 |
11552d1 23104f1 103968p1 11552l1 |
Quadratic twists by: -4 8 -3 -19 |