Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300o |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-191700000000 = -1 · 28 · 33 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1292,11588] |
[a1,a2,a3,a4,a6] |
j |
2383280/1917 |
j-invariant |
L |
1.9489150654291 |
L(r)(E,1)/r! |
Ω |
0.64963835514303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85200co1 63900x1 21300a1 |
Quadratic twists by: -4 -3 5 |