Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670bc |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
2685840 = 24 · 3 · 5 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,-15] |
[a1,a2,a3,a4,a6] |
j |
4750104241/2685840 |
j-invariant |
L |
4.2315191267581 |
L(r)(E,1)/r! |
Ω |
2.1157595633791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010q1 88350m1 |
Quadratic twists by: -3 5 |