Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bj |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-46847180250000 = -1 · 24 · 38 · 56 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,329616] |
[a1,a2,a3,a4,a6] |
j |
-169/144 |
j-invariant |
L |
2.0592780425256 |
L(r)(E,1)/r! |
Ω |
0.51481949583525 |
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 |
25350cv1 3042j1 76050eo1 |
Quadratic twists by: -3 5 13 |