Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400w |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-34732800 = -1 · 28 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-988,-12292] |
[a1,a2,a3,a4,a6] |
j |
-16682228560/5427 |
j-invariant |
L |
3.4058475208895 |
L(r)(E,1)/r! |
Ω |
0.4257309491671 |
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 |
40200w1 80400r1 |
Quadratic twists by: -4 5 |