Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185j |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
6873467625 = 38 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-833,8552] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:91:1] |
Generators of the group modulo torsion |
j |
87587538121/9428625 |
j-invariant |
L |
3.4811408830562 |
L(r)(E,1)/r! |
Ω |
1.2890997833791 |
Real period |
R |
1.3502216538782 |
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 |
7395l1 110925bi1 |
Quadratic twists by: -3 5 |