Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418q |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37800 |
Modular degree for the optimal curve |
Δ |
197885618 = 2 · 76 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 7- 6 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-716:1073:64] |
Generators of the group modulo torsion |
j |
3625/2 |
j-invariant |
L |
8.1101467735374 |
L(r)(E,1)/r! |
Ω |
1.4648927011637 |
Real period |
R |
5.5363418562274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682f1 82418i1 |
Quadratic twists by: -7 29 |