Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224bl |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-125749618544738304 = -1 · 229 · 33 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 2 5 3 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87704,-19803756] |
[a1,a2,a3,a4,a6] |
j |
-18214905367183897/30700590465024 |
j-invariant |
L |
6.295313075556 |
L(r)(E,1)/r! |
Ω |
0.13115235574091 |
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 |
4278c1 102672bl1 |
Quadratic twists by: -4 -3 |