Atkin-Lehner |
2- 3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558u |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5437440 |
Modular degree for the optimal curve |
Δ |
-1.4565316955046E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39479181,-95511445629] |
[a1,a2,a3,a4,a6] |
Generators |
[31555:5468732:1] |
Generators of the group modulo torsion |
j |
-6804999797651373789212082769/1456531695504564682752 |
j-invariant |
L |
9.3248478574807 |
L(r)(E,1)/r! |
Ω |
0.030114242875063 |
Real period |
R |
6.4510226773253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674h1 |
Quadratic twists by: -3 |