Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22755g |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
49765185 = 38 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131,456] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:34:1] |
Generators of the group modulo torsion |
j |
248739515569/49765185 |
j-invariant |
L |
3.9915412637081 |
L(r)(E,1)/r! |
Ω |
1.9002595448097 |
Real period |
R |
1.0502621272474 |
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 |
68265i1 113775b1 |
Quadratic twists by: -3 5 |