Atkin-Lehner |
2+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680c |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
179360000 = 28 · 54 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,3094] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
29125069776/700625 |
j-invariant |
L |
5.7149134100034 |
L(r)(E,1)/r! |
Ω |
1.7986962622984 |
Real period |
R |
1.5886265856684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44840b1 |
Quadratic twists by: -4 |