Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
558d |
Isogeny class |
Conductor |
558 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-175729824 = -1 · 25 · 311 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[9:36:1] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
1.4837330243502 |
L(r)(E,1)/r! |
Ω |
1.0317785645252 |
Real period |
R |
0.35950858918867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4464s1 17856y1 186b1 13950co1 |
Quadratic twists by: -4 8 -3 5 |