Atkin-Lehner |
2- 3+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17802n |
Isogeny class |
Conductor |
17802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1790916804 = -1 · 22 · 39 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -3 -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19253,-1023407] |
[a1,a2,a3,a4,a6] |
Generators |
[319:4862:1] |
Generators of the group modulo torsion |
j |
-40096503655083/90988 |
j-invariant |
L |
6.4752644747932 |
L(r)(E,1)/r! |
Ω |
0.20265002398295 |
Real period |
R |
3.9941177575052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17802a1 |
Quadratic twists by: -3 |