Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bi |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
123002880 |
Modular degree for the optimal curve |
Δ |
-2.377380886894E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 11- 6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10500504471,414158055226141] |
[a1,a2,a3,a4,a6] |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
1.2007790092274 |
L(r)(E,1)/r! |
Ω |
0.075048683836924 |
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 |
29766bd1 8118p1 |
Quadratic twists by: -3 -11 |