Atkin-Lehner |
2+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
94162b |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
223029686080288 = 25 · 238 · 89 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 0 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3613346,2643399892] |
[a1,a2,a3,a4,a6] |
j |
66623815521625/2848 |
j-invariant |
L |
0.13870017525145 |
L(r)(E,1)/r! |
Ω |
0.41610087228341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94162g1 |
Quadratic twists by: -23 |