Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cm |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-941072888448 = -1 · 27 · 311 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,-46656] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-1:1] [51:258:1] |
Generators of the group modulo torsion |
j |
-1375/31104 |
j-invariant |
L |
8.8408999652184 |
L(r)(E,1)/r! |
Ω |
0.40243947702652 |
Real period |
R |
2.7460340220627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cw1 106722ck1 106722gg1 |
Quadratic twists by: -3 -7 -11 |