Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840m |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-9324573390000 = -1 · 24 · 36 · 54 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6531,248544] |
[a1,a2,a3,a4,a6] |
j |
-1925791548565504/582785836875 |
j-invariant |
L |
4.1418383765042 |
L(r)(E,1)/r! |
Ω |
0.69030640143176 |
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 |
40920g1 |
Quadratic twists by: -4 |