Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088n |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
526129535414928384 = 210 · 38 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-877611,314516950] |
[a1,a2,a3,a4,a6] |
Generators |
[-30530016:-589284311:32768] |
Generators of the group modulo torsion |
j |
676449508/4761 |
j-invariant |
L |
5.6287333174789 |
L(r)(E,1)/r! |
Ω |
0.29452531472678 |
Real period |
R |
9.5556019059001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76176y2 12696q2 1656c2 |
Quadratic twists by: -4 -3 -23 |