Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bb |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6497442500000 = -1 · 25 · 57 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45563,3741617] |
[a1,a2,a3,a4,a6] |
Generators |
[92:529:1] |
Generators of the group modulo torsion |
j |
-669485563505641/415836320 |
j-invariant |
L |
9.6597460379184 |
L(r)(E,1)/r! |
Ω |
0.7432743956484 |
Real period |
R |
0.32490511224632 |
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 |
3910g1 |
Quadratic twists by: 5 |