Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510p |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
755615055525000000 = 26 · 3 · 58 · 118 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238766,-16374204] |
[a1,a2,a3,a4,a6] |
j |
1505363138332645936609/755615055525000000 |
j-invariant |
L |
5.4623917701489 |
L(r)(E,1)/r! |
Ω |
0.22759965708954 |
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 |
124080bb3 46530m3 77550g3 |
Quadratic twists by: -4 -3 5 |