Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317a |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
6285157454341 = 179 · 53 |
Discriminant |
Eigenvalues |
0 -1 3 4 -6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5009,65493] |
[a1,a2,a3,a4,a6] |
Generators |
[669:17195:1] |
Generators of the group modulo torsion |
j |
575930368/260389 |
j-invariant |
L |
4.2836186548141 |
L(r)(E,1)/r! |
Ω |
0.67598646606913 |
Real period |
R |
1.5842102134542 |
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 |
901c1 |
Quadratic twists by: 17 |