Atkin-Lehner |
2- 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120o |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
4284800000000 = 213 · 58 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- -1 3 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4307,43794] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1000:1] |
Generators of the group modulo torsion |
j |
2157189905961/1046093750 |
j-invariant |
L |
7.2925317482777 |
L(r)(E,1)/r! |
Ω |
0.69187578760155 |
Real period |
R |
0.32938227016643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390c1 |
Quadratic twists by: -4 |