Atkin-Lehner |
2- 3- 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030u |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3278938293457031250 = 2 · 32 · 518 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-387295,31846775] |
[a1,a2,a3,a4,a6] |
j |
6424649699497918343281/3278938293457031250 |
j-invariant |
L |
3.9962200691479 |
L(r)(E,1)/r! |
Ω |
0.22201222606378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090l2 |
Quadratic twists by: -3 |