Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418n |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-620569298048 = -1 · 27 · 78 · 292 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1569,-45473] |
[a1,a2,a3,a4,a6] |
Generators |
[55:168:1] |
Generators of the group modulo torsion |
j |
-4317433/6272 |
j-invariant |
L |
6.4267472550981 |
L(r)(E,1)/r! |
Ω |
0.36043947713403 |
Real period |
R |
1.2735935012667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774h1 82418g1 |
Quadratic twists by: -7 29 |