Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328s |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15359066112 = 214 · 3 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118353,-15711249] |
[a1,a2,a3,a4,a6] |
Generators |
[128190:8809883:27] |
Generators of the group modulo torsion |
j |
11190390833554000/937443 |
j-invariant |
L |
9.0841854114357 |
L(r)(E,1)/r! |
Ω |
0.25739756454178 |
Real period |
R |
8.8231073888918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bl2 6708d2 |
Quadratic twists by: -4 8 |