Atkin-Lehner |
13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
17407g |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28704 |
Modular degree for the optimal curve |
Δ |
1092263435419 = 139 · 103 |
Discriminant |
Eigenvalues |
1 1 1 4 6 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6088,175255] |
[a1,a2,a3,a4,a6] |
Generators |
[24211:340946:1331] |
Generators of the group modulo torsion |
j |
2352637/103 |
j-invariant |
L |
8.7314273115317 |
L(r)(E,1)/r! |
Ω |
0.86278956867151 |
Real period |
R |
5.0599981899271 |
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 |
17407h1 |
Quadratic twists by: 13 |