Atkin-Lehner |
2- 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150i |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-13038848000000 = -1 · 214 · 56 · 312 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5745,44247] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:126:1] [119:1490:1] |
Generators of the group modulo torsion |
j |
1342284742791/834486272 |
j-invariant |
L |
9.3098997295175 |
L(r)(E,1)/r! |
Ω |
0.43872755828009 |
Real period |
R |
0.37893268002026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3286b1 |
Quadratic twists by: 5 |