Atkin-Lehner |
3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185s |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
7.2560368958485E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5013572,-1367447826] |
[a1,a2,a3,a4,a6] |
j |
19117798122807388134649/9953411379764732505 |
j-invariant |
L |
0.64099154310026 |
L(r)(E,1)/r! |
Ω |
0.10683192385005 |
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 |
7395a1 110925bh1 |
Quadratic twists by: -3 5 |