Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608r |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-148179862093824 = -1 · 216 · 310 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18177,-1104255] |
[a1,a2,a3,a4,a6] |
Generators |
[28117216465:-59146614240:174676879] |
Generators of the group modulo torsion |
j |
-10135246028548/2261045259 |
j-invariant |
L |
7.0888327145722 |
L(r)(E,1)/r! |
Ω |
0.20316785434587 |
Real period |
R |
17.445753852366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999942599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cw2 15576c2 |
Quadratic twists by: -4 8 |