Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16695j |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
4174534665 = 38 · 5 · 74 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1073700,-427957205] |
[a1,a2,a3,a4,a6] |
Generators |
[891976:27535273:512] |
Generators of the group modulo torsion |
j |
187778242790732059201/5726385 |
j-invariant |
L |
5.552123445074 |
L(r)(E,1)/r! |
Ω |
0.14831285580468 |
Real period |
R |
9.3588034141588 |
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 |
5565d1 83475t1 116865bc1 |
Quadratic twists by: -3 5 -7 |