Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506f |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30405464369922048 = -1 · 224 · 3 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162626,-26668044] |
[a1,a2,a3,a4,a6] |
j |
-268498407453697/17163091968 |
j-invariant |
L |
0.23686430213085 |
L(r)(E,1)/r! |
Ω |
0.11843215106544 |
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 |
67518bn1 2046g1 |
Quadratic twists by: -3 -11 |