Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566i |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-15220115946 = -1 · 2 · 311 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-178,5990] |
[a1,a2,a3,a4,a6] |
Generators |
[16:77:1] |
Generators of the group modulo torsion |
j |
-618688004761/15220115946 |
j-invariant |
L |
4.2079836388755 |
L(r)(E,1)/r! |
Ω |
1.0430521989388 |
Real period |
R |
0.18337719222476 |
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 |
108528y1 40698bd1 94962g1 |
Quadratic twists by: -4 -3 -7 |