Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680o |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5561295897600 = 210 · 32 · 52 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4720,-50468] |
[a1,a2,a3,a4,a6] |
j |
470596/225 |
j-invariant |
L |
1.2077402410619 |
L(r)(E,1)/r! |
Ω |
0.60387012052984 |
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 |
69360bt2 104040cl2 120b2 |
Quadratic twists by: -4 -3 17 |