Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110bq |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-2023318905454755000 = -1 · 23 · 39 · 54 · 197 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-109750,69843932] |
[a1,a2,a3,a4,a6] |
Generators |
[4574:-310942:1] |
Generators of the group modulo torsion |
j |
-146196692087487804001/2023318905454755000 |
j-invariant |
L |
8.7577008456727 |
L(r)(E,1)/r! |
Ω |
0.2218115317605 |
Real period |
R |
0.052225690368442 |
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 |
104880bv1 39330p1 65550i1 |
Quadratic twists by: -4 -3 5 |