Atkin-Lehner |
2- 3+ 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bg |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-630567082229760 = -1 · 215 · 39 · 5 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12017,-1307231] |
[a1,a2,a3,a4,a6] |
j |
-9749598279147/32036126720 |
j-invariant |
L |
6.2974542047495 |
L(r)(E,1)/r! |
Ω |
0.20991513845351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130a1 |
Quadratic twists by: -3 |