Atkin-Lehner |
3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635b |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5.9398152008057E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2076124026,-36411483454026] |
[a1,a2,a3,a4,a6] |
j |
989654480537634499839189358297249/59398152008056640625 |
j-invariant |
L |
0.26839070871808 |
L(r)(E,1)/r! |
Ω |
0.022365892393173 |
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 |
58905bj4 98175be4 |
Quadratic twists by: -3 5 |