Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47685m |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
2.3697830635956E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11- 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2046719771,35639153188361] |
[a1,a2,a3,a4,a6] |
j |
135927552068276232945664/339716953125 |
j-invariant |
L |
1.4315351674419 |
L(r)(E,1)/r! |
Ω |
0.095435677833792 |
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 |
47685c1 |
Quadratic twists by: 17 |