Atkin-Lehner |
13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
17407f |
Isogeny class |
Conductor |
17407 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-226291 = -1 · 133 · 103 |
Discriminant |
Eigenvalues |
0 -2 -3 2 4 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17,30] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-262144/103 |
j-invariant |
L |
2.2843690664343 |
L(r)(E,1)/r! |
Ω |
2.9516713497966 |
Real period |
R |
0.38696196082122 |
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 |
17407e1 |
Quadratic twists by: 13 |