Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368p |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7934677724736 = 26 · 314 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78249,-8423840] |
[a1,a2,a3,a4,a6] |
Generators |
[-1456479024:-288993505:8998912] |
Generators of the group modulo torsion |
j |
1135671162482368/170067681 |
j-invariant |
L |
7.2782122372652 |
L(r)(E,1)/r! |
Ω |
0.28545243904447 |
Real period |
R |
12.748554998579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368u1 92736er2 15456r1 |
Quadratic twists by: -4 8 -3 |