Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bt |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-33473250 = -1 · 2 · 35 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,281] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:71:8] |
Generators of the group modulo torsion |
j |
300763/267786 |
j-invariant |
L |
9.6302780780431 |
L(r)(E,1)/r! |
Ω |
1.6186167716083 |
Real period |
R |
2.9748481059722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650ba1 |
Quadratic twists by: 5 |