Atkin-Lehner |
2- 3- 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226u |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2617117609271382 = 2 · 322 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73085,-7177201] |
[a1,a2,a3,a4,a6] |
Generators |
[8612348700:-41425700333:27000000] |
Generators of the group modulo torsion |
j |
59220949573311625/3590010437958 |
j-invariant |
L |
10.240060467325 |
L(r)(E,1)/r! |
Ω |
0.29146536738473 |
Real period |
R |
17.566513192049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742e2 |
Quadratic twists by: -3 |