Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418f |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-143972077147136 = -1 · 210 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -5 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-220673633,-1261769743916] |
[a1,a2,a3,a4,a6] |
Generators |
[249023655087613142475:370934368509514895917546:112154501390625] |
Generators of the group modulo torsion |
j |
-414183515883649725221/50176 |
j-invariant |
L |
4.8292646280175 |
L(r)(E,1)/r! |
Ω |
0.019585377554147 |
Real period |
R |
30.821876005876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774d2 82418u2 |
Quadratic twists by: -7 29 |