Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130x |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2701434240000000000 = -1 · 216 · 34 · 510 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10933281,-13915836855] |
[a1,a2,a3,a4,a6] |
Generators |
[10068:941841:1] |
Generators of the group modulo torsion |
j |
-144535738300430446670241169/2701434240000000000 |
j-invariant |
L |
10.343978484375 |
L(r)(E,1)/r! |
Ω |
0.041512744283131 |
Real period |
R |
3.8933745915715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390o1 |
Quadratic twists by: -3 |