Atkin-Lehner |
2+ 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170r |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-88944240240 = -1 · 24 · 37 · 5 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1116,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:99:1] |
Generators of the group modulo torsion |
j |
210751100351/122008560 |
j-invariant |
L |
5.0121300316611 |
L(r)(E,1)/r! |
Ω |
0.64322134751835 |
Real period |
R |
0.97402901260842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390o1 |
Quadratic twists by: -3 |