Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3234q |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
30195350250823296 = 27 · 312 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2570492,-1587302179] |
[a1,a2,a3,a4,a6] |
j |
46546832455691959/748268928 |
j-invariant |
L |
3.3385196740479 |
L(r)(E,1)/r! |
Ω |
0.11923284550171 |
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 |
25872cn2 103488dj2 9702s2 80850cr2 |
Quadratic twists by: -4 8 -3 5 |