Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550w |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-2.6992812685938E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7458130,7845432497] |
[a1,a2,a3,a4,a6] |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
4.1717600843739 |
L(r)(E,1)/r! |
Ω |
0.20858800421869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910c1 |
Quadratic twists by: 5 |