Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bn |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
585044947200 = 28 · 3 · 52 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20091,1087113] |
[a1,a2,a3,a4,a6] |
j |
7623273198241/4972800 |
j-invariant |
L |
3.6360070740507 |
L(r)(E,1)/r! |
Ω |
0.90900176821467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770bb1 |
Quadratic twists by: -7 |