Atkin-Lehner |
3+ 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22755b |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-17254574243685225 = -1 · 38 · 52 · 376 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-427166,107466788] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10492:1] [156:6604:1] |
Generators of the group modulo torsion |
j |
-8620129885619625002209/17254574243685225 |
j-invariant |
L |
3.8214328742339 |
L(r)(E,1)/r! |
Ω |
0.38998889003712 |
Real period |
R |
1.63313749522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68265m2 113775f2 |
Quadratic twists by: -3 5 |