Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bq |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
13178880 |
Modular degree for the optimal curve |
Δ |
-1.1977137307156E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21678746,-42263112999] |
[a1,a2,a3,a4,a6] |
Generators |
[22961:3389223:1] |
Generators of the group modulo torsion |
j |
-7210363418239993/766450335744 |
j-invariant |
L |
8.4202192044624 |
L(r)(E,1)/r! |
Ω |
0.034774481075776 |
Real period |
R |
4.6564977366528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122d1 102366s1 |
Quadratic twists by: -3 -11 |