Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fm |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.0594936040436E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2200827,-1246890454] |
[a1,a2,a3,a4,a6] |
Generators |
[-913:1190:1] |
Generators of the group modulo torsion |
j |
394815279796185529/3548222643000 |
j-invariant |
L |
5.5563537468461 |
L(r)(E,1)/r! |
Ω |
0.12401910803041 |
Real period |
R |
1.2445111243882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bn4 28560ch4 |
Quadratic twists by: -4 -3 |