Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bj |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
82705368070748160 = 211 · 39 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254690787,-1564472619074] |
[a1,a2,a3,a4,a6] |
Generators |
[12423948646241571009408083214785110081833318:-1152577764990051670624565482626569803848330800:545093074983477262540150888834622893363] |
Generators of the group modulo torsion |
j |
50700519510140162/2295 |
j-invariant |
L |
10.128648232475 |
L(r)(E,1)/r! |
Ω |
0.037791684112357 |
Real period |
R |
67.003154523319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000012388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bs4 6120g3 |
Quadratic twists by: -3 17 |