Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080bk |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
538148966400 = 212 · 310 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21387,-1203334] |
[a1,a2,a3,a4,a6] |
Generators |
[727:19170:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
6.4783457071661 |
L(r)(E,1)/r! |
Ω |
0.39479809933052 |
Real period |
R |
4.1023156636101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4005d1 21360g1 |
Quadratic twists by: -4 -3 |