Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bj |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2563200000000 = 213 · 32 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85440008,304004998512] |
[a1,a2,a3,a4,a6] |
Generators |
[1840699:-1280182:343] |
Generators of the group modulo torsion |
j |
1077773706461706278401/40050 |
j-invariant |
L |
5.2838822943072 |
L(r)(E,1)/r! |
Ω |
0.2989892936294 |
Real period |
R |
8.8362399445552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13350h3 21360p4 |
Quadratic twists by: -4 5 |