Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22185o |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
18729099523305 = 312 · 5 · 172 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24242,-1431696] |
[a1,a2,a3,a4,a6] |
Generators |
[4222:89991:8] |
Generators of the group modulo torsion |
j |
2161149093764569/25691494545 |
j-invariant |
L |
4.0557659165937 |
L(r)(E,1)/r! |
Ω |
0.38288730835249 |
Real period |
R |
5.2962919220868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395c1 110925bb1 |
Quadratic twists by: -3 5 |