Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520bl |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19845120 |
Modular degree for the optimal curve |
Δ |
-6.9296655439117E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 2 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38236639,-88071816865] |
[a1,a2,a3,a4,a6] |
j |
73087061741/81920000 |
j-invariant |
L |
2.5795016638244 |
L(r)(E,1)/r! |
Ω |
0.040304713031223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520e1 28880bc1 115520bo1 |
Quadratic twists by: -4 8 -19 |