Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27060h |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-1369912500000000 = -1 · 28 · 35 · 511 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 0 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2404,1780980] |
[a1,a2,a3,a4,a6] |
j |
5999381358896/5351220703125 |
j-invariant |
L |
1.8783891758166 |
L(r)(E,1)/r! |
Ω |
0.37567783516337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240r1 81180l1 |
Quadratic twists by: -4 -3 |