Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270cb |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-46725503131793070 = -1 · 2 · 311 · 5 · 134 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,86188,3626741] |
[a1,a2,a3,a4,a6] |
Generators |
[2836:174189:64] |
Generators of the group modulo torsion |
j |
97127300136968711/64095340372830 |
j-invariant |
L |
7.7214049173707 |
L(r)(E,1)/r! |
Ω |
0.22464882363119 |
Real period |
R |
8.5927502229497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090o4 |
Quadratic twists by: -3 |