Atkin-Lehner |
2- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976o |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6743202822422528 = 216 · 76 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-284208,58278848] |
[a1,a2,a3,a4,a6] |
j |
619832276681640625/1646289751568 |
j-invariant |
L |
0.84501266676956 |
L(r)(E,1)/r! |
Ω |
0.42250633427651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622j3 |
Quadratic twists by: -4 |