Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bx |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4669440 |
Modular degree for the optimal curve |
Δ |
2.28843749376E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2532763,-1371197719] |
[a1,a2,a3,a4,a6] |
Generators |
[2291:68550:1] |
Generators of the group modulo torsion |
j |
919977791035998941/117167999680512 |
j-invariant |
L |
9.7470888829303 |
L(r)(E,1)/r! |
Ω |
0.12067717339189 |
Real period |
R |
1.682707224259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450bf1 |
Quadratic twists by: 5 |