Atkin-Lehner |
11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45617c |
Isogeny class |
Conductor |
45617 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2329311078856619 = -1 · 117 · 132 · 294 |
Discriminant |
Eigenvalues |
0 3 3 -2 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16214,-2181842] |
[a1,a2,a3,a4,a6] |
Generators |
[4026:50867:27] |
Generators of the group modulo torsion |
j |
266095853568/1314835379 |
j-invariant |
L |
10.10713453907 |
L(r)(E,1)/r! |
Ω |
0.23164410078163 |
Real period |
R |
1.3635052793504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147a1 |
Quadratic twists by: -11 |