Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722x |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-103126108932 = -1 · 22 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,159,-15471] |
[a1,a2,a3,a4,a6] |
Generators |
[25:48:1] |
Generators of the group modulo torsion |
j |
189/44 |
j-invariant |
L |
6.1443166610907 |
L(r)(E,1)/r! |
Ω |
0.49942727485012 |
Real period |
R |
0.7689203428638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fa1 106722i1 9702bg1 |
Quadratic twists by: -3 -7 -11 |