Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210p |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1596684960 = -1 · 25 · 310 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44550,3630420] |
[a1,a2,a3,a4,a6] |
j |
-79370312059129/12960 |
j-invariant |
L |
2.3572461153774 |
L(r)(E,1)/r! |
Ω |
1.1786230576887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680ee1 5070x1 76050fe1 15210bt1 |
Quadratic twists by: -4 -3 5 13 |