Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107508d |
Isogeny class |
Conductor |
107508 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8387376158073456 = -1 · 24 · 36 · 176 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72514242,-237650599539] |
[a1,a2,a3,a4,a6] |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
0.93125030077713 |
L(r)(E,1)/r! |
Ω |
0.025868052316557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
372c2 |
Quadratic twists by: 17 |