Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950cj |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
15728640 |
Modular degree for the optimal curve |
Δ |
-5.3570787189577E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-321742788,-2221348205808] |
[a1,a2,a3,a4,a6] |
Generators |
[27408:3076500:1] |
Generators of the group modulo torsion |
j |
-235738300667365635295923577/34285303801329408 |
j-invariant |
L |
14.776349327518 |
L(r)(E,1)/r! |
Ω |
0.017823473716017 |
Real period |
R |
4.3179098518268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278b1 |
Quadratic twists by: 5 |