Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355w |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
Δ |
-810355692084046875 = -1 · 37 · 56 · 136 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,101025,41518332] |
[a1,a2,a3,a4,a6] |
Generators |
[3339:-195597:1] [-231:2538:1] |
Generators of the group modulo torsion |
j |
23209364902764223/164941113796875 |
j-invariant |
L |
7.4995508704804 |
L(r)(E,1)/r! |
Ω |
0.20561176000424 |
Real period |
R |
0.289478797334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355c2 |
Quadratic twists by: 17 |