Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bw |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
135632925412088832 = 210 · 318 · 7 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65644491,-204713055146] |
[a1,a2,a3,a4,a6] |
Generators |
[21566:2899962:1] |
Generators of the group modulo torsion |
j |
41907435261174342201892/181692769167 |
j-invariant |
L |
5.2303858789646 |
L(r)(E,1)/r! |
Ω |
0.053039568653093 |
Real period |
R |
3.0816532576998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999801981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128h4 |
Quadratic twists by: -3 |