Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840i |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2554695936000 = -1 · 211 · 310 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,79742] |
[a1,a2,a3,a4,a6] |
j |
-1316978/10125 |
j-invariant |
L |
1.3936692242338 |
L(r)(E,1)/r! |
Ω |
0.69683461251744 |
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 |
121680p1 20280t1 60840bt1 |
Quadratic twists by: -4 -3 13 |