Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bg |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12747021484032 = 220 · 33 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35969,-2608095] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:64:1] |
Generators of the group modulo torsion |
j |
19632741836833/48626028 |
j-invariant |
L |
2.1144251645717 |
L(r)(E,1)/r! |
Ω |
0.34672175970362 |
Real period |
R |
1.5245836081064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996164439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832o2 32208o2 |
Quadratic twists by: -4 8 |