Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bk |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32659200 |
Modular degree for the optimal curve |
Δ |
-1.1896205885811E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29150894,-154479386401] |
[a1,a2,a3,a4,a6] |
Generators |
[4153:193459:1] |
Generators of the group modulo torsion |
j |
1546404963542218051271/6715098089092546560 |
j-invariant |
L |
9.2926744139312 |
L(r)(E,1)/r! |
Ω |
0.036111406363644 |
Real period |
R |
3.5740763198179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570b1 |
Quadratic twists by: -11 |