Atkin-Lehner |
3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4515h |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
6.7652764231789E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1830018,866649931] |
[a1,a2,a3,a4,a6] |
j |
677781101619292083943321/67652764231789288125 |
j-invariant |
L |
3.4179098895807 |
L(r)(E,1)/r! |
Ω |
0.18988388275448 |
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 |
72240by4 13545g3 22575c4 31605b4 |
Quadratic twists by: -4 -3 5 -7 |