Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386n |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-7996571648 = -1 · 217 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -3 -4 -2 -5 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87,4335] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:62:1] [35:-226:1] |
Generators of the group modulo torsion |
j |
-199565721/22151168 |
j-invariant |
L |
4.4207803462715 |
L(r)(E,1)/r! |
Ω |
1.078012140265 |
Real period |
R |
0.12061362437813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088bh1 84474bd1 122018q1 9386c1 |
Quadratic twists by: -4 -3 13 -19 |