Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443m |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-387190422116000811 = -1 · 32 · 73 · 117 · 235 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19642,29963130] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:1270:1] [-260:4174:1] |
Generators of the group modulo torsion |
j |
-473093337088/218558899251 |
j-invariant |
L |
3.5988215382345 |
L(r)(E,1)/r! |
Ω |
0.24370123522326 |
Real period |
R |
0.12306125349684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5313a1 |
Quadratic twists by: -11 |