Atkin-Lehner |
2+ 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808d |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-329650394112 = -1 · 210 · 37 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 1 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1256,32928] |
[a1,a2,a3,a4,a6] |
j |
-214160022436/321924213 |
j-invariant |
L |
1.7310307929236 |
L(r)(E,1)/r! |
Ω |
0.86551539643369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20904f1 125424g1 |
Quadratic twists by: -4 -3 |