Atkin-Lehner |
2- 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840df |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-171641918976000 = -1 · 212 · 3 · 53 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10000,-495852] |
[a1,a2,a3,a4,a6] |
j |
26997300089999/41904765375 |
j-invariant |
L |
3.6262059178325 |
L(r)(E,1)/r! |
Ω |
0.30218382979617 |
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 |
5115f1 |
Quadratic twists by: -4 |