Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456r |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
10884331584 = 26 · 38 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8694,309096] |
[a1,a2,a3,a4,a6] |
Generators |
[30:276:1] |
Generators of the group modulo torsion |
j |
1135671162482368/170067681 |
j-invariant |
L |
4.6889285845502 |
L(r)(E,1)/r! |
Ω |
1.2365346447546 |
Real period |
R |
0.947997818832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456o1 30912bh2 46368p1 108192bg1 |
Quadratic twists by: -4 8 -3 -7 |