Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680db |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1564738560 = 210 · 34 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296,384] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:48:1] |
Generators of the group modulo torsion |
j |
8193532/4455 |
j-invariant |
L |
6.3089191106296 |
L(r)(E,1)/r! |
Ω |
1.3113277555368 |
Real period |
R |
1.2027731213102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360t1 64680cg1 |
Quadratic twists by: -4 -7 |