Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bl |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
453115076502528 = 210 · 33 · 117 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66089,6475241] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:3562:1] |
Generators of the group modulo torsion |
j |
667398487419/9473024 |
j-invariant |
L |
11.157423429096 |
L(r)(E,1)/r! |
Ω |
0.52895088761595 |
Real period |
R |
1.0546747997254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162j1 5742b1 |
Quadratic twists by: -3 -11 |