Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360bp |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
6886425600000000 = 216 · 38 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-352001,80401185] |
[a1,a2,a3,a4,a6] |
j |
73599812355168004/105078515625 |
j-invariant |
L |
1.6794755605447 |
L(r)(E,1)/r! |
Ω |
0.41986889012836 |
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 |
39360z1 9840i1 118080gg1 |
Quadratic twists by: -4 8 -3 |