Atkin-Lehner |
2- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930r |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6193039823235972100 = -1 · 22 · 52 · 176 · 376 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1518701,-730886777] |
[a1,a2,a3,a4,a6] |
j |
-16048965315233521/256572640900 |
j-invariant |
L |
4.8912687656626 |
L(r)(E,1)/r! |
Ω |
0.067934293003597 |
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 |
370d4 |
Quadratic twists by: 17 |