Atkin-Lehner |
2- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bk |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
23084307894890000 = 24 · 54 · 1110 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120700,-14400000] |
[a1,a2,a3,a4,a6] |
Generators |
[560:9400:1] |
Generators of the group modulo torsion |
j |
109771509498841/13030490000 |
j-invariant |
L |
9.6225428688117 |
L(r)(E,1)/r! |
Ω |
0.25812419740523 |
Real period |
R |
2.3299207722147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790f1 |
Quadratic twists by: -11 |