Atkin-Lehner |
3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105393o |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
589680 |
Modular degree for the optimal curve |
Δ |
-25165757549060091 = -1 · 318 · 19 · 434 |
Discriminant |
Eigenvalues |
0 3- 1 4 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,34515,7233887] |
[a1,a2,a3,a4,a6] |
Generators |
[1089:36571:1] |
Generators of the group modulo torsion |
j |
1330028478464/7360989291 |
j-invariant |
L |
9.4360593564065 |
L(r)(E,1)/r! |
Ω |
0.27237764385084 |
Real period |
R |
0.64154252210239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105393a1 |
Quadratic twists by: -43 |