Atkin-Lehner |
17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15317i |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
260389 = 173 · 53 |
Discriminant |
Eigenvalues |
0 -3 -3 -2 -4 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] [0:8:1] |
Generators of the group modulo torsion |
j |
884736/53 |
j-invariant |
L |
2.6143828571011 |
L(r)(E,1)/r! |
Ω |
3.0562342796422 |
Real period |
R |
0.42771309688475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15317h1 |
Quadratic twists by: 17 |