Atkin-Lehner |
2- 3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130ca |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-8231047984328130 = -1 · 2 · 312 · 5 · 133 · 893 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25682,-4637149] |
[a1,a2,a3,a4,a6] |
Generators |
[625170:2813453:2744] |
Generators of the group modulo torsion |
j |
-2569607877941209/11290875149970 |
j-invariant |
L |
13.73299789838 |
L(r)(E,1)/r! |
Ω |
0.1713074649088 |
Real period |
R |
6.6804823330034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710m1 |
Quadratic twists by: -3 |