Atkin-Lehner |
3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11913f |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-5493044745039753 = -1 · 35 · 113 · 198 |
Discriminant |
Eigenvalues |
1 3- -2 3 11+ -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7573,3557459] |
[a1,a2,a3,a4,a6] |
j |
2828663/323433 |
j-invariant |
L |
1.6450978406202 |
L(r)(E,1)/r! |
Ω |
0.32901956812404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35739s1 11913b1 |
Quadratic twists by: -3 -19 |