Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bm |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-5.1127204910736E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3172568,2666439860] |
[a1,a2,a3,a4,a6] |
Generators |
[6503:546210:1] |
Generators of the group modulo torsion |
j |
862177024590009587927/1248222776141021184 |
j-invariant |
L |
11.366392850082 |
L(r)(E,1)/r! |
Ω |
0.092363018814563 |
Real period |
R |
2.9300514907557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566a1 |
Quadratic twists by: -4 |