Atkin-Lehner |
2+ 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650b |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
278997307820156250 = 2 · 314 · 57 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2930525,-1931983125] |
[a1,a2,a3,a4,a6] |
Generators |
[3715:194280:1] |
Generators of the group modulo torsion |
j |
178131288613407384529/17855827700490 |
j-invariant |
L |
4.7649750991452 |
L(r)(E,1)/r! |
Ω |
0.11538936672903 |
Real period |
R |
5.161843803395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330bc2 |
Quadratic twists by: 5 |