Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504cd |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3465494155843469312 = 217 · 319 |
Discriminant |
Eigenvalues |
2- -2 -2 4 -6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5044609,4358432127] |
[a1,a2,a3,a4,a6] |
Generators |
[16036727:11623640:12167] |
Generators of the group modulo torsion |
j |
4096766 |
j-invariant |
L |
2.8016836861964 |
L(r)(E,1)/r! |
Ω |
0.24411332788228 |
Real period |
R |
11.476979607694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504u2 15376k2 61504bz2 |
Quadratic twists by: -4 8 -31 |