Atkin-Lehner |
2+ 3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110x |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-3.6354064163734E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1021365,-491680665] |
[a1,a2,a3,a4,a6] |
j |
-161636462562310889041/49868400773297370 |
j-invariant |
L |
0.44351864527256 |
L(r)(E,1)/r! |
Ω |
0.07391979025277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29370bj2 |
Quadratic twists by: -3 |