Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418m |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.3380929540614E+21 |
Discriminant |
Eigenvalues |
2- 1 3 7- 3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-598389,-1768998799] |
[a1,a2,a3,a4,a6] |
Generators |
[4627580:887860321:125] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
15.73931860657 |
L(r)(E,1)/r! |
Ω |
0.066950755886102 |
Real period |
R |
7.3464996741107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774j1 2842d1 |
Quadratic twists by: -7 29 |