Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510p |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-193209355468800 = -1 · 224 · 34 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9326,-754044] |
[a1,a2,a3,a4,a6] |
j |
-89704216226900449/193209355468800 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
124080bb1 46530m1 77550g1 |
Quadratic twists by: -4 -3 5 |