Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930ba |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
83925753210000 = 24 · 310 · 54 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16673,-697503] |
[a1,a2,a3,a4,a6] |
j |
703093388853961/115124490000 |
j-invariant |
L |
3.3984586960891 |
L(r)(E,1)/r! |
Ω |
0.42480733701169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11310c2 |
Quadratic twists by: -3 |