Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418k |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.0671229083431E+22 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12452845,-18270900651] |
[a1,a2,a3,a4,a6] |
Generators |
[64245267:19024319708:729] |
Generators of the group modulo torsion |
j |
-3051779837625/295386112 |
j-invariant |
L |
9.9732128319913 |
L(r)(E,1)/r! |
Ω |
0.039964275514387 |
Real period |
R |
6.2388299932626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774f1 2842a1 |
Quadratic twists by: -7 29 |