Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472k |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2041277635584 = -1 · 210 · 312 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 11- -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1359,65529] |
[a1,a2,a3,a4,a6] |
Generators |
[72:729:1] |
Generators of the group modulo torsion |
j |
270871003904/1993435191 |
j-invariant |
L |
3.334738947758 |
L(r)(E,1)/r! |
Ω |
0.60266912263165 |
Real period |
R |
1.3833208067087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472ce1 8184i1 |
Quadratic twists by: -4 8 |