Atkin-Lehner |
2- 3+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846s |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5088 |
Modular degree for the optimal curve |
Δ |
-442152 = -1 · 23 · 33 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 1 5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44,-105] |
[a1,a2,a3,a4,a6] |
j |
-341532099/16376 |
j-invariant |
L |
5.5554387222598 |
L(r)(E,1)/r! |
Ω |
0.92590645370789 |
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 |
36846a1 |
Quadratic twists by: -3 |