Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550i |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-242757000000000 = -1 · 29 · 38 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 1 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4575,757125] |
[a1,a2,a3,a4,a6] |
j |
-5423945093/124291584 |
j-invariant |
L |
1.8649578024444 |
L(r)(E,1)/r! |
Ω |
0.46623945061111 |
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 |
44400df1 16650cn1 5550br1 |
Quadratic twists by: -4 -3 5 |