Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280k |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
486958694400 = 224 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2401,31201] |
[a1,a2,a3,a4,a6] |
j |
5841725401/1857600 |
j-invariant |
L |
1.723692521913 |
L(r)(E,1)/r! |
Ω |
0.86184626097212 |
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 |
41280cv1 1290f1 123840de1 |
Quadratic twists by: -4 8 -3 |