Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120de |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-433772822528000 = -1 · 224 · 53 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- -2 3 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4895,994975] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:460:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
8.753558893704 |
L(r)(E,1)/r! |
Ω |
0.39947044445524 |
Real period |
R |
1.2173837424073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bf2 31280s2 |
Quadratic twists by: -4 8 |