Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608i |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-51074107650048 = -1 · 212 · 3 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-498293,135553149] |
[a1,a2,a3,a4,a6] |
j |
-3340557830582272000/12469264563 |
j-invariant |
L |
0.55499295714082 |
L(r)(E,1)/r! |
Ω |
0.55499295714976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2163c3 103824bi3 |
Quadratic twists by: -4 -3 |