Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456o |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
16 |
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] |
j |
1135671162482368/170067681 |
j-invariant |
L |
1.9776725102779 |
L(r)(E,1)/r! |
Ω |
0.49441812756948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456r1 30912ck2 46368u1 108192cc1 |
Quadratic twists by: -4 8 -3 -7 |