Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bo |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
71498889000000 = 26 · 33 · 56 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32733,2240056] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:992:1] |
Generators of the group modulo torsion |
j |
3878484596972846281/71498889000000 |
j-invariant |
L |
5.6315366328134 |
L(r)(E,1)/r! |
Ω |
0.61572222374021 |
Real period |
R |
1.5243715471244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810du1 |
Quadratic twists by: -3 |