Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588a |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
46691016887354112 = 28 · 33 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103935,-7632378] |
[a1,a2,a3,a4,a6] |
j |
3721734000/1399489 |
j-invariant |
L |
3.2926833368948 |
L(r)(E,1)/r! |
Ω |
0.27439027806794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42588b2 3276d2 |
Quadratic twists by: -3 13 |