Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107484i |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-476716906224 = -1 · 24 · 39 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394,-33487] |
[a1,a2,a3,a4,a6] |
Generators |
[86:759:1] |
Generators of the group modulo torsion |
j |
-14839552/1043199 |
j-invariant |
L |
12.029791727256 |
L(r)(E,1)/r! |
Ω |
0.4115778563787 |
Real period |
R |
3.2476079697759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902136 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107484j1 |
Quadratic twists by: 13 |