Atkin-Lehner |
2- 3- 5- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030v |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7093753200000000 = 210 · 39 · 58 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59530,-3856348] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:-1072:1] |
Generators of the group modulo torsion |
j |
23330917380009417121/7093753200000000 |
j-invariant |
L |
11.192447684165 |
L(r)(E,1)/r! |
Ω |
0.31286195931978 |
Real period |
R |
0.04968666136914 |
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 |
81090h1 |
Quadratic twists by: -3 |