Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722p |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
253548326446829568 = 212 · 33 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-383532,88249552] |
[a1,a2,a3,a4,a6] |
Generators |
[611:8735:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
4.8035473922956 |
L(r)(E,1)/r! |
Ω |
0.30853660758979 |
Real period |
R |
3.8922021633486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722eo3 2178a1 9702be1 |
Quadratic twists by: -3 -7 -11 |