Atkin-Lehner |
2+ 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bz |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1643172148361031750 = 2 · 38 · 53 · 73 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4146399,3250237455] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:-123:1] |
Generators of the group modulo torsion |
j |
10814576472869451368689/2254008433965750 |
j-invariant |
L |
5.3296054405601 |
L(r)(E,1)/r! |
Ω |
0.25903809134612 |
Real period |
R |
1.7145500948434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059167 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270cm4 |
Quadratic twists by: -3 |