Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545t |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
47443968 |
Modular degree for the optimal curve |
Δ |
8.2411505975783E+28 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3999627255,-96374934326448] |
[a1,a2,a3,a4,a6] |
j |
60144238361305303781253215329/700486242771148681640625 |
j-invariant |
L |
2.7356650199122 |
L(r)(E,1)/r! |
Ω |
0.018997673749365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103635o1 4935a1 |
Quadratic twists by: -3 -7 |