Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800cg |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-42360102144000 = -1 · 211 · 36 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5685,266150] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:2745:8] |
Generators of the group modulo torsion |
j |
108879878/226981 |
j-invariant |
L |
7.2452091989268 |
L(r)(E,1)/r! |
Ω |
0.44494244004214 |
Real period |
R |
1.3569562649418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12200f1 109800bb1 |
Quadratic twists by: -3 5 |