Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600ci |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-2156220000000000 = -1 · 211 · 34 · 510 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29792,1026412] |
[a1,a2,a3,a4,a6] |
j |
109850/81 |
j-invariant |
L |
1.1814774662641 |
L(r)(E,1)/r! |
Ω |
0.29536936653765 |
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 |
72600bw1 72600d1 |
Quadratic twists by: 5 -11 |