Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585b |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
2787912421875 = 39 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 3 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5280,-122599] |
[a1,a2,a3,a4,a6] |
j |
16880463747/2890625 |
j-invariant |
L |
1.1332122756726 |
L(r)(E,1)/r! |
Ω |
0.56660613027625 |
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 |
81585f1 81585e1 |
Quadratic twists by: -3 -7 |