Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ce |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-22093045383822336 = -1 · 210 · 39 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32643,7511125] |
[a1,a2,a3,a4,a6] |
Generators |
[102:2237:1] |
Generators of the group modulo torsion |
j |
-33698267/193536 |
j-invariant |
L |
3.6472581397508 |
L(r)(E,1)/r! |
Ω |
0.32972762814026 |
Real period |
R |
2.7653567930578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bs1 15246f1 106722ga1 |
Quadratic twists by: -3 -7 -11 |