Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64288j |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
308710976 = 26 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702,6880] |
[a1,a2,a3,a4,a6] |
Generators |
[18:20:1] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
3.8327648932159 |
L(r)(E,1)/r! |
Ω |
1.7311289994297 |
Real period |
R |
2.2140261607671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64288i1 128576cx1 1312a1 |
Quadratic twists by: -4 8 -7 |