Atkin-Lehner |
2- 3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bz |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
588 |
Product of Tamagawa factors cp |
deg |
1731072 |
Modular degree for the optimal curve |
Δ |
-601289209170000000 = -1 · 27 · 38 · 57 · 13 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -6 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124142,-40899459] |
[a1,a2,a3,a4,a6] |
Generators |
[1361:47379:1] |
Generators of the group modulo torsion |
j |
-290234554879810969/824813730000000 |
j-invariant |
L |
12.166457434847 |
L(r)(E,1)/r! |
Ω |
0.1178255482292 |
Real period |
R |
0.17560923251922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710c1 |
Quadratic twists by: -3 |