Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82418j |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-170415928051712 = -1 · 211 · 76 · 294 |
Discriminant |
Eigenvalues |
2+ -3 0 7- -1 -6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12878,-282668] |
[a1,a2,a3,a4,a6] |
Generators |
[51:685:1] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
1.4361094339977 |
L(r)(E,1)/r! |
Ω |
0.32171485892349 |
Real period |
R |
0.7439866831072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682e1 82418r1 |
Quadratic twists by: -7 29 |