Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005x |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
142431082427025 = 35 · 52 · 710 · 83 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16588,587213] |
[a1,a2,a3,a4,a6] |
j |
4290223486249/1210644225 |
j-invariant |
L |
5.4093999736097 |
L(r)(E,1)/r! |
Ω |
0.54093999754832 |
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 |
8715a1 |
Quadratic twists by: -7 |