Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fp |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-457629750000 = -1 · 24 · 310 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,32875] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
1.5669976786029 |
L(r)(E,1)/r! |
Ω |
0.78349890597479 |
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 |
27900h1 37200dk1 4464y1 |
Quadratic twists by: -4 -3 5 |