Atkin-Lehner |
3+ 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339c |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34069991204403 = 36 · 78 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15387,-685266] |
[a1,a2,a3,a4,a6] |
j |
3424515194017/289590147 |
j-invariant |
L |
1.7238640744791 |
L(r)(E,1)/r! |
Ω |
0.43096590452334 |
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 |
15477b2 |
Quadratic twists by: -7 |