Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648c |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
22653214272 = 26 · 36 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1065,11248] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] |
Generators of the group modulo torsion |
j |
2863288000/485537 |
j-invariant |
L |
7.3923298489542 |
L(r)(E,1)/r! |
Ω |
1.1489820050113 |
Real period |
R |
3.2169041013641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648d1 127296dm1 7072e1 |
Quadratic twists by: -4 8 -3 |