Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050ck |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
750 |
Product of Tamagawa factors cp |
Δ |
21803940827136000 = 215 · 35 · 53 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1622653,795418097] |
[a1,a2,a3,a4,a6] |
Generators |
[-1438:13199:1] |
Generators of the group modulo torsion |
j |
3779990313913203652709/174431526617088 |
j-invariant |
L |
14.718288532921 |
L(r)(E,1)/r! |
Ω |
0.35960908199397 |
Real period |
R |
1.3642859507416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885972 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
115050o2 |
Quadratic twists by: 5 |