Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5406j |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-178440240494592 = -1 · 211 · 39 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -5 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7672,-587712] |
[a1,a2,a3,a4,a6] |
Generators |
[64:376:1] |
Generators of the group modulo torsion |
j |
49939703164181375/178440240494592 |
j-invariant |
L |
6.1372341188934 |
L(r)(E,1)/r! |
Ω |
0.29013726308264 |
Real period |
R |
0.053416323681207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248r1 16218d1 91902s1 |
Quadratic twists by: -4 -3 17 |