Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176o |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-475937856 = -1 · 26 · 36 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,2180] |
[a1,a2,a3,a4,a6] |
j |
-58411072/10201 |
j-invariant |
L |
1.5982402207807 |
L(r)(E,1)/r! |
Ω |
1.5982402190503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58176p1 29088f2 6464g1 |
Quadratic twists by: -4 8 -3 |