Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200be |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25281000000000 = 29 · 32 · 59 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32008,-2201512] |
[a1,a2,a3,a4,a6] |
Generators |
[217630:9033426:125] |
Generators of the group modulo torsion |
j |
453338818568/3160125 |
j-invariant |
L |
10.72851563929 |
L(r)(E,1)/r! |
Ω |
0.35708058575738 |
Real period |
R |
7.5112706378227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200k2 25440bc2 |
Quadratic twists by: -4 5 |