Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bn |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
669962056936015872 = 211 · 310 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1555995,-746029802] |
[a1,a2,a3,a4,a6] |
j |
2371933903250/3814209 |
j-invariant |
L |
2.1630146273003 |
L(r)(E,1)/r! |
Ω |
0.13518840695013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456k2 15624u2 |
Quadratic twists by: -3 -7 |