Atkin-Lehner |
2+ 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790g |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-12335625000 = -1 · 23 · 33 · 57 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -1 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,351,-4795] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-203:1] |
Generators of the group modulo torsion |
j |
176841881397/456875000 |
j-invariant |
L |
4.3123686955682 |
L(r)(E,1)/r! |
Ω |
0.6528703522478 |
Real period |
R |
0.47180322139551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790bo1 |
Quadratic twists by: -3 |