Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064o |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
13325312 = 210 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,219] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:13:1] |
Generators of the group modulo torsion |
j |
67108864/13013 |
j-invariant |
L |
3.0471293092264 |
L(r)(E,1)/r! |
Ω |
2.1237219776402 |
Real period |
R |
1.4348061288385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064be1 4004c1 |
Quadratic twists by: -4 8 |