Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664i |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-142587579268053504 = -1 · 29 · 313 · 133 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9424,-18167388] |
[a1,a2,a3,a4,a6] |
Generators |
[496:10406:1] |
Generators of the group modulo torsion |
j |
180764647572088/278491365757917 |
j-invariant |
L |
3.023511941994 |
L(r)(E,1)/r! |
Ω |
0.15188403022468 |
Real period |
R |
3.3177856569222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53664d1 107328v1 |
Quadratic twists by: -4 8 |