Atkin-Lehner |
2+ 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184b |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-6140545743024 = -1 · 24 · 35 · 7 · 11 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11551,496354] |
[a1,a2,a3,a4,a6] |
Generators |
[110:738:1] |
Generators of the group modulo torsion |
j |
-10653690562115584/383784108939 |
j-invariant |
L |
3.5012273780562 |
L(r)(E,1)/r! |
Ω |
0.75021726039155 |
Real period |
R |
4.6669512294167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592j1 |
Quadratic twists by: -4 |