Atkin-Lehner |
2- 3- 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426bf |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
243160067608157952 = 28 · 312 · 7 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166910,-11183475] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:3443:1] |
Generators of the group modulo torsion |
j |
705408706887081625/333552904812288 |
j-invariant |
L |
10.917308420157 |
L(r)(E,1)/r! |
Ω |
0.24738332760821 |
Real period |
R |
1.3790981447709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142c2 |
Quadratic twists by: -3 |