Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418s |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-8117722791510164 = -1 · 22 · 76 · 297 |
Discriminant |
Eigenvalues |
2- -3 3 7- 1 -3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48936,-6000417] |
[a1,a2,a3,a4,a6] |
Generators |
[2277:106955:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
6.8625030767117 |
L(r)(E,1)/r! |
Ω |
0.15606680056457 |
Real period |
R |
5.4964469129705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682g1 2842c1 |
Quadratic twists by: -7 29 |