Atkin-Lehner |
2+ 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650w |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-164399941500000000 = -1 · 28 · 3 · 59 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,116124,-12179102] |
[a1,a2,a3,a4,a6] |
Generators |
[9326:325933:8] |
Generators of the group modulo torsion |
j |
11083451457520079/10521596256000 |
j-invariant |
L |
4.3654475313775 |
L(r)(E,1)/r! |
Ω |
0.17634805157449 |
Real period |
R |
3.0943406324061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530x1 |
Quadratic twists by: 5 |