Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520j |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
605491200 = 212 · 34 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656,-6144] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
7633736209/147825 |
j-invariant |
L |
3.6439209048857 |
L(r)(E,1)/r! |
Ω |
0.94434207503282 |
Real period |
R |
0.96467186023642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1095a1 70080co1 52560bg1 87600by1 |
Quadratic twists by: -4 8 -3 5 |