Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892b |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1441005657870694608 = 24 · 32 · 77 · 116 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-718993,227679166] |
[a1,a2,a3,a4,a6] |
Generators |
[-7750:30057:8] |
Generators of the group modulo torsion |
j |
21836854478848000/765521624637 |
j-invariant |
L |
4.3461629762284 |
L(r)(E,1)/r! |
Ω |
0.26756410934688 |
Real period |
R |
8.1217226094401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556m3 |
Quadratic twists by: -7 |