Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080y |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15240960 |
Modular degree for the optimal curve |
Δ |
-2.0740657284025E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135401616,-644759922240] |
[a1,a2,a3,a4,a6] |
j |
-67024766588959493312172049/5063637032232592343040 |
j-invariant |
L |
2.2033468916986 |
L(r)(E,1)/r! |
Ω |
0.022033468908526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510x1 |
Quadratic twists by: -4 |