Atkin-Lehner |
3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275o |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
1149547265625 = 3 · 58 · 114 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3626,66023] |
[a1,a2,a3,a4,a6] |
j |
337298881681/73571025 |
j-invariant |
L |
3.2773133654619 |
L(r)(E,1)/r! |
Ω |
0.81932834190201 |
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 |
11055d1 |
Quadratic twists by: 5 |