Atkin-Lehner |
3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22185c |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-125294207459146875 = -1 · 39 · 55 · 174 · 293 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -1 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-139563,26320268] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:6655:1] |
Generators of the group modulo torsion |
j |
-15273666678140928/6365605215625 |
j-invariant |
L |
1.837835408522 |
L(r)(E,1)/r! |
Ω |
0.30948703419619 |
Real period |
R |
0.24743031821662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22185d1 110925e1 |
Quadratic twists by: -3 5 |