Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cp |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
2160576 = 26 · 32 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,110] |
[a1,a2,a3,a4,a6] |
j |
247673152/33759 |
j-invariant |
L |
2.505373174473 |
L(r)(E,1)/r! |
Ω |
2.5053731829701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bk1 32736i2 |
Quadratic twists by: -4 8 |