Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650cw |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
11777625000000 = 26 · 32 · 59 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28263,1819017] |
[a1,a2,a3,a4,a6] |
Generators |
[108:117:1] |
Generators of the group modulo torsion |
j |
1278348920477/6030144 |
j-invariant |
L |
13.576595289806 |
L(r)(E,1)/r! |
Ω |
0.71871505453644 |
Real period |
R |
1.5741745405933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650j1 |
Quadratic twists by: 5 |