Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416eq |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
6457703616 = 26 · 38 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184539,30512680] |
[a1,a2,a3,a4,a6] |
Generators |
[3906:60295:8] |
Generators of the group modulo torsion |
j |
14896378491692608/138411 |
j-invariant |
L |
6.6554035389258 |
L(r)(E,1)/r! |
Ω |
0.93124520203979 |
Real period |
R |
7.146778876604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416fx1 26208m2 17472cn1 |
Quadratic twists by: -4 8 -3 |