Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672j |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-469628904013824 = -1 · 237 · 3 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 0 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216696,-38768016] |
[a1,a2,a3,a4,a6] |
j |
-274737822946654969/114655494144 |
j-invariant |
L |
0.4425433185673 |
L(r)(E,1)/r! |
Ω |
0.11063582956763 |
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 |
6834e1 |
Quadratic twists by: -4 |