Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162a |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-2084346 = -1 · 2 · 33 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [3:-7:1] |
Generators of the group modulo torsion |
j |
-185193/58 |
j-invariant |
L |
8.3001970562294 |
L(r)(E,1)/r! |
Ω |
2.4706123873529 |
Real period |
R |
0.83989268194465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bg1 63162be1 |
Quadratic twists by: -3 -11 |