Atkin-Lehner |
2+ 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270k |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-158054490 = -1 · 2 · 39 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,90,486] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] |
Generators of the group modulo torsion |
j |
109902239/216810 |
j-invariant |
L |
3.0342255272269 |
L(r)(E,1)/r! |
Ω |
1.2570684625146 |
Real period |
R |
0.60343283160165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090n1 |
Quadratic twists by: -3 |