Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ej |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-875757120 = -1 · 26 · 3 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20,-1430] |
[a1,a2,a3,a4,a6] |
Generators |
[47:318:1] |
Generators of the group modulo torsion |
j |
13144256/13683705 |
j-invariant |
L |
5.8685071099856 |
L(r)(E,1)/r! |
Ω |
0.73562430331411 |
Real period |
R |
3.9887936701782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999867827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gp1 63840p2 |
Quadratic twists by: -4 8 |