Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ci |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-340480000000000 = -1 · 218 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25208,-1786412] |
[a1,a2,a3,a4,a6] |
Generators |
[14525276:788759614:4913] |
Generators of the group modulo torsion |
j |
-44289025/8512 |
j-invariant |
L |
4.8735778615699 |
L(r)(E,1)/r! |
Ω |
0.18749636893747 |
Real period |
R |
12.996459315909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650c1 53200de1 |
Quadratic twists by: -4 5 |