Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176v |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1389700841472 = -1 · 221 · 38 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -2 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,-25936] |
[a1,a2,a3,a4,a6] |
Generators |
[13:99:1] |
Generators of the group modulo torsion |
j |
9938375/7272 |
j-invariant |
L |
5.5982566688861 |
L(r)(E,1)/r! |
Ω |
0.47943203335416 |
Real period |
R |
2.9192128807316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cd1 1818k1 19392a1 |
Quadratic twists by: -4 8 -3 |