Atkin-Lehner |
2+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774f |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-22193667782 = -1 · 2 · 112 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ -1 4 -3 11- 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13708,612110] |
[a1,a2,a3,a4,a6] |
Generators |
[95:375:1] |
Generators of the group modulo torsion |
j |
-2354562001552849/183418742 |
j-invariant |
L |
4.3306468080621 |
L(r)(E,1)/r! |
Ω |
1.1493787143975 |
Real period |
R |
0.62796923150738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774m1 |
Quadratic twists by: -11 |