Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912l |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
171521263936512 = 210 · 38 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14128,-139376] |
[a1,a2,a3,a4,a6] |
Generators |
[286:4374:1] |
Generators of the group modulo torsion |
j |
2588858500/1423737 |
j-invariant |
L |
5.5151490794773 |
L(r)(E,1)/r! |
Ω |
0.46830637886384 |
Real period |
R |
2.9441992084346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456k1 10416i1 |
Quadratic twists by: -4 -7 |