Atkin-Lehner |
3- 5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265m |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
146512504935225 = 38 · 52 · 114 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70853,7253412] |
[a1,a2,a3,a4,a6] |
Generators |
[188:-837:1] |
Generators of the group modulo torsion |
j |
53959158468888841/200977373025 |
j-invariant |
L |
2.6633739571239 |
L(r)(E,1)/r! |
Ω |
0.58218410724105 |
Real period |
R |
0.57184962221058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994850949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40755g2 |
Quadratic twists by: -3 |