Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480br |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
227082240 = 216 · 32 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1176,-15120] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2:1] |
Generators of the group modulo torsion |
j |
43949604889/55440 |
j-invariant |
L |
3.3768801179648 |
L(r)(E,1)/r! |
Ω |
0.81526697531104 |
Real period |
R |
2.0710271728329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310h1 73920hl1 55440ef1 92400ho1 |
Quadratic twists by: -4 8 -3 5 |