Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150dt |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
295348335750000 = 24 · 314 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4742780,-3974367153] |
[a1,a2,a3,a4,a6] |
Generators |
[-1257:635:1] |
Generators of the group modulo torsion |
j |
1035797864656694257/25929072 |
j-invariant |
L |
9.8181654003729 |
L(r)(E,1)/r! |
Ω |
0.10230369446053 |
Real period |
R |
2.9990868935648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999940268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050a4 4446h3 |
Quadratic twists by: -3 5 |