Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390cd |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
-121856504716800 = -1 · 29 · 37 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13770,-823593] |
[a1,a2,a3,a4,a6] |
j |
-2454365649169/1035763200 |
j-invariant |
L |
3.8863465264168 |
L(r)(E,1)/r! |
Ω |
0.21590814044011 |
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 |
1110m1 |
Quadratic twists by: -7 |