Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040ck |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
3028878979280 = 24 · 5 · 74 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5325,125720] |
[a1,a2,a3,a4,a6] |
j |
1043864482349056/189304936205 |
j-invariant |
L |
3.0479649310264 |
L(r)(E,1)/r! |
Ω |
0.76199098066213 |
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 |
29260k1 |
Quadratic twists by: -4 |