Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520s |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50224250880 = 214 · 36 · 5 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,14672] |
[a1,a2,a3,a4,a6] |
j |
20720464/4205 |
j-invariant |
L |
2.1341951076275 |
L(r)(E,1)/r! |
Ω |
1.0670975438129 |
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 |
83520eb2 10440z2 9280j2 |
Quadratic twists by: -4 8 -3 |