Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020p |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
1.6096077946614E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1145795988,-14927007495463] |
[a1,a2,a3,a4,a6] |
Generators |
[10084411394726:3187683556935957:90518849] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
5.8835477035938 |
L(r)(E,1)/r! |
Ω |
0.025949276385773 |
Real period |
R |
18.894385904027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17340d1 3060k1 |
Quadratic twists by: -3 17 |