Atkin-Lehner |
3- 11+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28083c |
Isogeny class |
Conductor |
28083 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
-547258223193 = -1 · 3 · 118 · 23 · 37 |
Discriminant |
Eigenvalues |
-1 3- 0 5 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119813,15952674] |
[a1,a2,a3,a4,a6] |
j |
-190211060311858140625/547258223193 |
j-invariant |
L |
1.606387332302 |
L(r)(E,1)/r! |
Ω |
0.80319366615093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84249h1 |
Quadratic twists by: -3 |