Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550t |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
351626300000000 = 28 · 58 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 -1 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124742,16964916] |
[a1,a2,a3,a4,a6] |
Generators |
[44:3378:1] |
Generators of the group modulo torsion |
j |
549545611868505/900163328 |
j-invariant |
L |
4.0509440038415 |
L(r)(E,1)/r! |
Ω |
0.53862881495738 |
Real period |
R |
0.62673711025562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19550z1 |
Quadratic twists by: 5 |