Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355y |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
19466496 |
Modular degree for the optimal curve |
Δ |
-8.8137894579241E+25 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -5 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58048835,-482707086078] |
[a1,a2,a3,a4,a6] |
j |
-10730378053390609/43719326015625 |
j-invariant |
L |
2.7925720187575 |
L(r)(E,1)/r! |
Ω |
0.024933678725045 |
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 |
56355f1 |
Quadratic twists by: 17 |