Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bu |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
5.717958611625E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31979817,69606955341] |
[a1,a2,a3,a4,a6] |
j |
65787589563409/10400000 |
j-invariant |
L |
1.265864030165 |
L(r)(E,1)/r! |
Ω |
0.15823300582903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8450s1 15210bj1 5850bt1 |
Quadratic twists by: -3 5 13 |