Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090a |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
16211939854816000 = 28 · 53 · 477 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -3 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12751499,-17527349834] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
0.63914476672852 |
L(r)(E,1)/r! |
Ω |
0.079893095841065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bb1 470b1 |
Quadratic twists by: 5 -47 |