Atkin-Lehner |
2+ 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170d |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8647910156250 = 2 · 33 · 510 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5484,67838] |
[a1,a2,a3,a4,a6] |
Generators |
[7:169:1] |
Generators of the group modulo torsion |
j |
675611186181723/320292968750 |
j-invariant |
L |
4.8381023701368 |
L(r)(E,1)/r! |
Ω |
0.65450635317573 |
Real period |
R |
0.73919868723247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170s2 |
Quadratic twists by: -3 |