Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520l |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1766597776128000000 = 214 · 35 · 56 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296001776,17958371693760] |
[a1,a2,a3,a4,a6] |
Generators |
[2359477377862:819988715786234:18191447] |
Generators of the group modulo torsion |
j |
58773364740520165234358226289/431298285187500 |
j-invariant |
L |
2.322441893967 |
L(r)(E,1)/r! |
Ω |
0.13033511520072 |
Real period |
R |
17.819003653701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2190o3 70080cr4 52560bp4 87600cf4 |
Quadratic twists by: -4 8 -3 5 |