Atkin-Lehner |
2- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870w |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-45496000 = -1 · 26 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1057,13489] |
[a1,a2,a3,a4,a6] |
Generators |
[37:136:1] [-34:1083:8] |
Generators of the group modulo torsion |
j |
-1078395462441/376000 |
j-invariant |
L |
13.383087728707 |
L(r)(E,1)/r! |
Ω |
1.9816078119291 |
Real period |
R |
0.37520283748451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870j1 |
Quadratic twists by: -11 |