Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326bf |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-316053423064203264 = -1 · 214 · 34 · 119 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,170063,-1701655] |
[a1,a2,a3,a4,a6] |
Generators |
[74:3323:1] |
Generators of the group modulo torsion |
j |
230684754637/134037504 |
j-invariant |
L |
14.698877175503 |
L(r)(E,1)/r! |
Ω |
0.18102169910027 |
Real period |
R |
2.8999832710013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73326k1 |
Quadratic twists by: -11 |