Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386m |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-441572639066 = -1 · 2 · 13 · 198 |
Discriminant |
Eigenvalues |
2- -3 -3 3 0 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22089,1269507] |
[a1,a2,a3,a4,a6] |
j |
-25334470953/9386 |
j-invariant |
L |
1.8459309507937 |
L(r)(E,1)/r! |
Ω |
0.92296547539686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088bg1 84474bc1 122018p1 494c1 |
Quadratic twists by: -4 -3 13 -19 |