Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063u |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
23461002749217033 = 37 · 79 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-412565,-101627004] |
[a1,a2,a3,a4,a6] |
j |
263991523375/797511 |
j-invariant |
L |
0.37682126447745 |
L(r)(E,1)/r! |
Ω |
0.18841063441692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21021a1 63063bd1 |
Quadratic twists by: -3 -7 |