Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bu |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-115988650249228848 = -1 · 24 · 315 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8382,-16388395] |
[a1,a2,a3,a4,a6] |
Generators |
[1690:69255:1] |
Generators of the group modulo torsion |
j |
-5583662639104/9944157257307 |
j-invariant |
L |
5.1389374222768 |
L(r)(E,1)/r! |
Ω |
0.15035919677966 |
Real period |
R |
2.1361087316191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998683625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496j1 |
Quadratic twists by: -3 |