Atkin-Lehner |
5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
22825f |
Isogeny class |
Conductor |
22825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114624 |
Modular degree for the optimal curve |
Δ |
-91899726875 = -1 · 54 · 116 · 83 |
Discriminant |
Eigenvalues |
1 -3 5- 4 11+ 6 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32692,2283391] |
[a1,a2,a3,a4,a6] |
j |
-6182663897565225/147039563 |
j-invariant |
L |
1.9839117604472 |
L(r)(E,1)/r! |
Ω |
0.99195588022358 |
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 |
22825e1 |
Quadratic twists by: 5 |