Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566k |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-15243191712 = -1 · 25 · 36 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-396,6634] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:102:1] |
Generators of the group modulo torsion |
j |
-6842767821625/15243191712 |
j-invariant |
L |
4.253031821017 |
L(r)(E,1)/r! |
Ω |
1.1044513808192 |
Real period |
R |
1.92540472803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108528p1 40698bp1 94962e1 |
Quadratic twists by: -4 -3 -7 |