Atkin-Lehner |
17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15317f |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
96269756728141097 = 1711 · 532 |
Discriminant |
Eigenvalues |
-1 -2 0 4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8553828,9628446295] |
[a1,a2,a3,a4,a6] |
Generators |
[-3351:27484:1] |
Generators of the group modulo torsion |
j |
2867554803676902625/3988378313 |
j-invariant |
L |
2.4429652817782 |
L(r)(E,1)/r! |
Ω |
0.28652858104801 |
Real period |
R |
8.5260788743755 |
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 |
901b1 |
Quadratic twists by: 17 |