Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bc |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1571328 |
Modular degree for the optimal curve |
Δ |
-350221061297137338 = -1 · 2 · 39 · 73 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,172947,-6701689] |
[a1,a2,a3,a4,a6] |
Generators |
[149:4654:1] |
Generators of the group modulo torsion |
j |
3267/2 |
j-invariant |
L |
3.6616829206072 |
L(r)(E,1)/r! |
Ω |
0.17547180429297 |
Real period |
R |
5.2169107060656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999532799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722es1 106722t1 106722ew1 |
Quadratic twists by: -3 -7 -11 |