Atkin-Lehner |
2+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33040a |
Isogeny class |
Conductor |
33040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
13645520 = 24 · 5 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62,-61] |
[a1,a2,a3,a4,a6] |
j |
1647323136/852845 |
j-invariant |
L |
1.8000777602058 |
L(r)(E,1)/r! |
Ω |
1.8000777602107 |
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 |
16520c1 |
Quadratic twists by: -4 |