Atkin-Lehner |
2+ 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238k |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-67674437182638 = -1 · 2 · 37 · 114 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6822,329386] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:367:1] [3:590:1] |
Generators of the group modulo torsion |
j |
48161002593887/92831875422 |
j-invariant |
L |
7.416007440839 |
L(r)(E,1)/r! |
Ω |
0.42609214439719 |
Real period |
R |
8.7023517539218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746z3 |
Quadratic twists by: -3 |