Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552o |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147448940986368 = 222 · 36 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41217,-3153663] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:128:1] [1793:75392:1] |
Generators of the group modulo torsion |
j |
29540882258497/562473072 |
j-invariant |
L |
11.300097893264 |
L(r)(E,1)/r! |
Ω |
0.33545311082925 |
Real period |
R |
8.4215181862824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552dj2 3486j2 |
Quadratic twists by: -4 8 |