Atkin-Lehner |
2- 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306r |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
906048 |
Modular degree for the optimal curve |
Δ |
-495568215678976 = -1 · 213 · 114 · 173 · 292 |
Discriminant |
Eigenvalues |
2- -2 1 3 11- -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149135,-22205831] |
[a1,a2,a3,a4,a6] |
Generators |
[550:7613:1] |
Generators of the group modulo torsion |
j |
-25054854738024001/33847975936 |
j-invariant |
L |
8.9497876201943 |
L(r)(E,1)/r! |
Ω |
0.12146173391029 |
Real period |
R |
2.8340003529203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119306n1 |
Quadratic twists by: -11 |