Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dm |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4692275069146875000 = 23 · 32 · 58 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228941160,-1333337657400] |
[a1,a2,a3,a4,a6] |
j |
8964546681033941529169/31696875000 |
j-invariant |
L |
7.4519473375848 |
L(r)(E,1)/r! |
Ω |
0.038812228988872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830ba4 |
Quadratic twists by: -23 |