Atkin-Lehner |
3+ 5- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27435b |
Isogeny class |
Conductor |
27435 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
2542402118728125 = 315 · 55 · 312 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -3 5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-939695,-350291944] |
[a1,a2,a3,a4,a6] |
Generators |
[-560:87:1] |
Generators of the group modulo torsion |
j |
91766659423791546597376/2542402118728125 |
j-invariant |
L |
3.8805850386575 |
L(r)(E,1)/r! |
Ω |
0.15333931156147 |
Real period |
R |
2.5307176608146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82305a1 |
Quadratic twists by: -3 |