Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040x |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
12669327216720 = 24 · 38 · 5 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39882,-3060799] |
[a1,a2,a3,a4,a6] |
Generators |
[-20131720:11955411:175616] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
7.350494891183 |
L(r)(E,1)/r! |
Ω |
0.33787218035236 |
Real period |
R |
10.877626642687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bc1 360a1 |
Quadratic twists by: -3 17 |