Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9922a |
Isogeny class |
Conductor |
9922 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-39688 = -1 · 23 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11- 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201,1076] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-4:1] |
Generators of the group modulo torsion |
j |
-7369140625/328 |
j-invariant |
L |
1.6853932579042 |
L(r)(E,1)/r! |
Ω |
3.4180128526718 |
Real period |
R |
0.49309155071981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376t1 89298by1 9922c1 |
Quadratic twists by: -4 -3 -11 |