Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117216j |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.3452693650907E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-838875,-459552782] |
[a1,a2,a3,a4,a6] |
Generators |
[76851918066:28691408892127:551368] |
Generators of the group modulo torsion |
j |
-174911344578125000/143209591614441 |
j-invariant |
L |
5.7492080714878 |
L(r)(E,1)/r! |
Ω |
0.076220831530021 |
Real period |
R |
18.857075780986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216bf2 39072q2 |
Quadratic twists by: -4 -3 |