Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bg |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1519488234 = -1 · 2 · 39 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353,-3077] |
[a1,a2,a3,a4,a6] |
j |
-185193/58 |
j-invariant |
L |
2.1686039072897 |
L(r)(E,1)/r! |
Ω |
0.54215097726351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162a1 63162c1 |
Quadratic twists by: -3 -11 |