Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162bc |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-920434387378176 = -1 · 213 · 37 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61551,-6040787] |
[a1,a2,a3,a4,a6] |
j |
-19968681097/712704 |
j-invariant |
L |
1.209875648438 |
L(r)(E,1)/r! |
Ω |
0.15123445614878 |
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 |
21054y1 522j1 |
Quadratic twists by: -3 -11 |