Atkin-Lehner |
2+ 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110j |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-35508172800 = -1 · 211 · 3 · 52 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-289,9236] |
[a1,a2,a3,a4,a6] |
j |
-2656166199049/35508172800 |
j-invariant |
L |
1.9662133561881 |
L(r)(E,1)/r! |
Ω |
0.98310667809403 |
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 |
104880bt1 39330bv1 65550bq1 |
Quadratic twists by: -4 -3 5 |