Atkin-Lehner |
2+ 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158j |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76554240 |
Modular degree for the optimal curve |
Δ |
1.3318165320434E+28 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -5 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1073239893,12341757847797] |
[a1,a2,a3,a4,a6] |
j |
187536845211756879082380654673/18269088231048308260798464 |
j-invariant |
L |
1.2381079158352 |
L(r)(E,1)/r! |
Ω |
0.038690872399464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386t1 |
Quadratic twists by: -3 |