Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063t |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-80467747342983 = -1 · 314 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10593,604624] |
[a1,a2,a3,a4,a6] |
j |
-1532808577/938223 |
j-invariant |
L |
2.2556189142533 |
L(r)(E,1)/r! |
Ω |
0.5639047297026 |
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 |
21021b1 1287e1 |
Quadratic twists by: -3 -7 |