Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443r |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-5491542645210699 = -1 · 36 · 75 · 117 · 23 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,44004,312824] |
[a1,a2,a3,a4,a6] |
Generators |
[876:-26681:1] |
Generators of the group modulo torsion |
j |
5319051554816/3099832659 |
j-invariant |
L |
3.0075525743406 |
L(r)(E,1)/r! |
Ω |
0.25872884741348 |
Real period |
R |
0.096869515598863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5313d1 |
Quadratic twists by: -11 |