Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040co |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
66709893120 = 212 · 3 · 5 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16736,827700] |
[a1,a2,a3,a4,a6] |
j |
126574061279329/16286595 |
j-invariant |
L |
4.2396759694943 |
L(r)(E,1)/r! |
Ω |
1.0599189920499 |
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 |
3315b3 |
Quadratic twists by: -4 |