Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64900b |
Isogeny class |
Conductor |
64900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-118775112500000000 = -1 · 28 · 511 · 115 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11+ 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-765908,258273188] |
[a1,a2,a3,a4,a6] |
Generators |
[548:1850:1] |
Generators of the group modulo torsion |
j |
-12422073804838864/29693778125 |
j-invariant |
L |
6.2639733798435 |
L(r)(E,1)/r! |
Ω |
0.33246274452519 |
Real period |
R |
3.1401881279058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980a1 |
Quadratic twists by: 5 |