Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200bk |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
701250000 = 24 · 3 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23383,-1368488] |
[a1,a2,a3,a4,a6] |
j |
5655916189696/2805 |
j-invariant |
L |
3.0886082631202 |
L(r)(E,1)/r! |
Ω |
0.38607613994844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440k1 |
Quadratic twists by: 5 |