Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030p |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-33783910416000000 = -1 · 210 · 32 · 56 · 174 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9264,-8835840] |
[a1,a2,a3,a4,a6] |
Generators |
[264:3336:1] |
Generators of the group modulo torsion |
j |
87925818791123711/33783910416000000 |
j-invariant |
L |
8.1858958908612 |
L(r)(E,1)/r! |
Ω |
0.17264059474167 |
Real period |
R |
1.1853955761549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090t2 |
Quadratic twists by: -3 |