Atkin-Lehner |
2+ 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326k |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-178403917824 = -1 · 214 · 34 · 113 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1405,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[0:37:1] |
Generators of the group modulo torsion |
j |
230684754637/134037504 |
j-invariant |
L |
6.8688939584812 |
L(r)(E,1)/r! |
Ω |
0.61052232065836 |
Real period |
R |
2.8127120522764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73326bf1 |
Quadratic twists by: -11 |