Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355r |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
8.0493894782804E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10795601,259080456] |
[a1,a2,a3,a4,a6] |
Generators |
[6316:425842:1] |
Generators of the group modulo torsion |
j |
1173340055458817/678770015625 |
j-invariant |
L |
4.2381858367205 |
L(r)(E,1)/r! |
Ω |
0.091719374176026 |
Real period |
R |
3.8506821077015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355k1 |
Quadratic twists by: 17 |