Atkin-Lehner |
2- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
105040ba |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1844047539758694400 = -1 · 222 · 52 · 132 · 1014 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133640,-68031500] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:29290:1] |
Generators of the group modulo torsion |
j |
-64443098670429961/450206918886400 |
j-invariant |
L |
1.9674545131992 |
L(r)(E,1)/r! |
Ω |
0.11080119604639 |
Real period |
R |
2.2195772559758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130d2 |
Quadratic twists by: -4 |