Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kw |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-127165106250000 = -1 · 24 · 33 · 58 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2388,-544608] |
[a1,a2,a3,a4,a6] |
Generators |
[102:474:1] |
Generators of the group modulo torsion |
j |
-11240455/949104 |
j-invariant |
L |
13.220076664512 |
L(r)(E,1)/r! |
Ω |
0.25901510372166 |
Real period |
R |
0.7088859810789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bu1 95550io1 |
Quadratic twists by: 5 -7 |