Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122740d |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
477805193683321600 = 28 · 52 · 174 · 197 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210463,16585062] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:6498:1] |
Generators of the group modulo torsion |
j |
85603083984/39672475 |
j-invariant |
L |
3.8745642629727 |
L(r)(E,1)/r! |
Ω |
0.26420449244798 |
Real period |
R |
2.4441700919595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998744542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6460a2 |
Quadratic twists by: -19 |