Atkin-Lehner |
2- 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480ba |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2303595417600000000 = 218 · 34 · 58 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332576,10940160] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:7378:1] [866:19278:1] |
Generators of the group modulo torsion |
j |
993202460610451489/562401225000000 |
j-invariant |
L |
9.6898039987719 |
L(r)(E,1)/r! |
Ω |
0.22296166131189 |
Real period |
R |
10.864876885232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15810s2 |
Quadratic twists by: -4 |