Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168do |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50053021433856 = 220 · 32 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9217,9215] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1320:1] |
Generators of the group modulo torsion |
j |
330369290497/190937124 |
j-invariant |
L |
9.7448361103257 |
L(r)(E,1)/r! |
Ω |
0.53780231358101 |
Real period |
R |
4.5299340780953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168a2 15792w2 |
Quadratic twists by: -4 8 |