Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760bf |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
16343021649920 = 227 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 5 5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24760,-1495212] |
[a1,a2,a3,a4,a6] |
j |
409857819530041/3989995520 |
j-invariant |
L |
2.2848986151941 |
L(r)(E,1)/r! |
Ω |
0.3808164358604 |
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 |
4970d1 |
Quadratic twists by: -4 |