Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
-1.3617765215188E+25 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61472984,-256768023333] |
[a1,a2,a3,a4,a6] |
Generators |
[79151:22113177:1] |
Generators of the group modulo torsion |
j |
-1397395501513/740710656 |
j-invariant |
L |
6.4706823806146 |
L(r)(E,1)/r! |
Ω |
0.026304856508504 |
Real period |
R |
7.6871289836945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574p1 15246bk1 106722dr1 |
Quadratic twists by: -3 -7 -11 |