Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416eu |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-19636418248731648 = -1 · 210 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25944,-6547336] |
[a1,a2,a3,a4,a6] |
Generators |
[145:513:1] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
5.7322165320761 |
L(r)(E,1)/r! |
Ω |
0.19007259285412 |
Real period |
R |
3.7697547855405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cp1 13104w1 17472br1 |
Quadratic twists by: -4 8 -3 |