Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bi |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
34851974034751488 = 220 · 34 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157312,-22325068] |
[a1,a2,a3,a4,a6] |
Generators |
[572:8670:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
6.2576347859517 |
L(r)(E,1)/r! |
Ω |
0.24095474351501 |
Real period |
R |
1.6231354005181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734i1 55488cp1 41616ci1 816h1 |
Quadratic twists by: -4 8 -3 17 |