Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150dh |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3778560 |
Modular degree for the optimal curve |
Δ |
-5.6379589233398E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1340255,698311747] |
[a1,a2,a3,a4,a6] |
j |
-865713914899443/183320312500 |
j-invariant |
L |
1.5191650007671 |
L(r)(E,1)/r! |
Ω |
0.18989568002915 |
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 |
111150l1 22230d1 |
Quadratic twists by: -3 5 |