Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gn |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-8.5015037831748E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33616318,-118547440063] |
[a1,a2,a3,a4,a6] |
Generators |
[56961:13631935:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
12.242336380977 |
L(r)(E,1)/r! |
Ω |
0.038288750977469 |
Real period |
R |
1.3322381561814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574be1 15246br1 106722cy1 |
Quadratic twists by: -3 -7 -11 |