Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122y |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-420547884975633888 = -1 · 25 · 315 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,106901,-28142575] |
[a1,a2,a3,a4,a6] |
Generators |
[428:-10015:1] |
Generators of the group modulo torsion |
j |
76262783193143/237388317408 |
j-invariant |
L |
7.656805903613 |
L(r)(E,1)/r! |
Ω |
0.15269663424558 |
Real period |
R |
0.33429271668591 |
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 |
102366l1 3102e1 |
Quadratic twists by: -3 -11 |