Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177j |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103380814197837 = 32 · 112 · 377 |
Discriminant |
Eigenvalues |
1 3- 0 0 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271091,-54347875] |
[a1,a2,a3,a4,a6] |
Generators |
[32984457:762804005:35937] |
Generators of the group modulo torsion |
j |
858729462625/40293 |
j-invariant |
L |
8.0216497618576 |
L(r)(E,1)/r! |
Ω |
0.20922915176864 |
Real period |
R |
9.5847659062569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221c2 |
Quadratic twists by: 37 |