Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040m |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-16180300800 = -1 · 210 · 37 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,5542] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:40:1] [-1:72:1] |
Generators of the group modulo torsion |
j |
23324/75 |
j-invariant |
L |
11.27723126899 |
L(r)(E,1)/r! |
Ω |
0.875219800182 |
Real period |
R |
1.6106284480356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bx1 104040bm1 |
Quadratic twists by: -3 17 |