Atkin-Lehner |
2+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53600i |
Isogeny class |
Conductor |
53600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1675000000 = -1 · 26 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,-4412] |
[a1,a2,a3,a4,a6] |
j |
-425920/67 |
j-invariant |
L |
1.0229662661845 |
L(r)(E,1)/r! |
Ω |
0.51148313242837 |
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 |
53600j1 107200dl1 53600l1 |
Quadratic twists by: -4 8 5 |