Atkin-Lehner |
2- 3- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77832h |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
111360780288 = 211 · 37 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54075,-4839946] |
[a1,a2,a3,a4,a6] |
j |
11712667531250/74589 |
j-invariant |
L |
1.2523063502985 |
L(r)(E,1)/r! |
Ω |
0.31307658546734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944a2 |
Quadratic twists by: -3 |