Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bj |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
1.0468557544801E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 11- 6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-661590,-136464872] |
[a1,a2,a3,a4,a6] |
j |
204937704961/66991212 |
j-invariant |
L |
4.1223208633347 |
L(r)(E,1)/r! |
Ω |
0.17176336545345 |
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 |
29766bf1 89298ch1 |
Quadratic twists by: -3 -11 |