Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bf |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-1200012903936 = -1 · 29 · 33 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,159,-52739] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1319:1] |
Generators of the group modulo torsion |
j |
189/512 |
j-invariant |
L |
3.5775455919039 |
L(r)(E,1)/r! |
Ω |
0.40122810547053 |
Real period |
R |
4.4582440243632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999571294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fe2 106722k1 882g1 |
Quadratic twists by: -3 -7 -11 |