Atkin-Lehner |
3+ 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165a |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21871204618921875 = 33 · 56 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125130,-15448675] |
[a1,a2,a3,a4,a6] |
j |
8025022042371905787/810044615515625 |
j-invariant |
L |
4.087856757833 |
L(r)(E,1)/r! |
Ω |
0.25549099359923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165b2 |
Quadratic twists by: -3 |