Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680o |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
92688264960000 = 211 · 3 · 54 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39400,2987500] |
[a1,a2,a3,a4,a6] |
j |
136835858/1875 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
69360bt3 104040cl3 120b4 |
Quadratic twists by: -4 -3 17 |