Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680h |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55404000000 = -1 · 28 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,10262] |
[a1,a2,a3,a4,a6] |
j |
91765424/296875 |
j-invariant |
L |
1.5802075580401 |
L(r)(E,1)/r! |
Ω |
0.79010377902007 |
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 |
6840s2 54720eu2 1520a2 68400bg2 |
Quadratic twists by: -4 8 -3 5 |