Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596t |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2892463671442176 = -1 · 28 · 36 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 3 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24336,-2135484] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1521:1] |
Generators of the group modulo torsion |
j |
1769472/3211 |
j-invariant |
L |
5.113473987499 |
L(r)(E,1)/r! |
Ω |
0.23682494902383 |
Real period |
R |
1.7993156408595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999382163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844b1 8892k1 |
Quadratic twists by: -3 13 |