Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33620a |
Isogeny class |
Conductor |
33620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-19000416964000000 = -1 · 28 · 56 · 416 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61076,-8796424] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
2.6465597454224 |
L(r)(E,1)/r! |
Ω |
0.14703109696814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a3 |
Quadratic twists by: 41 |