Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130m |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2047753710000 = 24 · 38 · 54 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-407700,100300000] |
[a1,a2,a3,a4,a6] |
Generators |
[363:14:1] |
Generators of the group modulo torsion |
j |
10280610782836603201/2808990000 |
j-invariant |
L |
5.8146067085774 |
L(r)(E,1)/r! |
Ω |
0.66216404050584 |
Real period |
R |
2.1953044823374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999379442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710v2 |
Quadratic twists by: -3 |