Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bk |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
251475840000 = 210 · 36 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103563,12827862] |
[a1,a2,a3,a4,a6] |
Generators |
[187:28:1] [222:882:1] |
Generators of the group modulo torsion |
j |
164554625611044/336875 |
j-invariant |
L |
7.8171122572528 |
L(r)(E,1)/r! |
Ω |
0.84741491831934 |
Real period |
R |
2.3061643382316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440o4 3080b3 |
Quadratic twists by: -4 -3 |