Atkin-Lehner |
2+ 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270t |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1936350117000 = -1 · 23 · 37 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3060,-16200] |
[a1,a2,a3,a4,a6] |
Generators |
[27:279:1] |
Generators of the group modulo torsion |
j |
4345908989759/2656173000 |
j-invariant |
L |
4.7057180942002 |
L(r)(E,1)/r! |
Ω |
0.48140818473233 |
Real period |
R |
1.2218628191837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bj1 |
Quadratic twists by: -3 |