Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cc |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-2619835471521442944 = -1 · 27 · 311 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9106785,10580373117] |
[a1,a2,a3,a4,a6] |
Generators |
[45291:104465:27] |
Generators of the group modulo torsion |
j |
-991656390179/31104 |
j-invariant |
L |
4.4942345737668 |
L(r)(E,1)/r! |
Ω |
0.23897934195796 |
Real period |
R |
4.7014885645847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cr1 106722bi1 106722fx1 |
Quadratic twists by: -3 -7 -11 |