Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18411j |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
5946753 = 3 · 172 · 193 |
Discriminant |
Eigenvalues |
1 3- 2 0 -6 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-350,2483] |
[a1,a2,a3,a4,a6] |
j |
688465387/867 |
j-invariant |
L |
2.3873269440768 |
L(r)(E,1)/r! |
Ω |
2.3873269440768 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55233l1 18411b1 |
Quadratic twists by: -3 -19 |