Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bw |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512000 |
Modular degree for the optimal curve |
Δ |
-199667160000000000 = -1 · 212 · 33 · 510 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,134877,9934178] |
[a1,a2,a3,a4,a6] |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
0.80987237760466 |
L(r)(E,1)/r! |
Ω |
0.20246809470476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465b1 55440cj1 |
Quadratic twists by: -4 -3 |