Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fz |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-47573415648720000 = -1 · 27 · 36 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 1 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18220,-10455753] |
[a1,a2,a3,a4,a6] |
j |
304175/21632 |
j-invariant |
L |
7.1632662780234 |
L(r)(E,1)/r! |
Ω |
0.17055395896489 |
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 |
8450j1 76050bt1 5850v1 |
Quadratic twists by: -3 5 13 |