Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722br |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
-1.304207966737E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14435262,58864679572] |
[a1,a2,a3,a4,a6] |
Generators |
[-1972:283226:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
4.2382549159111 |
L(r)(E,1)/r! |
Ω |
0.074982408899776 |
Real period |
R |
2.3551384734505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999931921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bq1 106722cq1 9702bo1 |
Quadratic twists by: -3 -7 -11 |