Atkin-Lehner |
2+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34850f |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
303334400000000 = 216 · 58 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -6 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-152150,22764500] |
[a1,a2,a3,a4,a6] |
j |
24930099747662689/19413401600 |
j-invariant |
L |
2.1645752477322 |
L(r)(E,1)/r! |
Ω |
0.54114381193039 |
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 |
6970f1 |
Quadratic twists by: 5 |