Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ck |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-799095805818750000 = -1 · 24 · 38 · 58 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195617,27152512] |
[a1,a2,a3,a4,a6] |
Generators |
[277:-10125:1] |
Generators of the group modulo torsion |
j |
1869154304/1804275 |
j-invariant |
L |
4.6171159009971 |
L(r)(E,1)/r! |
Ω |
0.18583239872789 |
Real period |
R |
1.5528494801422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520u1 6600a1 |
Quadratic twists by: 5 -11 |