Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bc |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3707530598400 = 211 · 3 · 52 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-924896,-342055380] |
[a1,a2,a3,a4,a6] |
j |
1770025017602/75 |
j-invariant |
L |
2.463180705487 |
L(r)(E,1)/r! |
Ω |
0.15394879409294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360x6 104040x6 120a5 |
Quadratic twists by: -4 -3 17 |