Atkin-Lehner |
2- 5+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17510i |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150912 |
Modular degree for the optimal curve |
Δ |
-22118499134120 = -1 · 23 · 5 · 173 · 1034 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 4 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-632401,193516945] |
[a1,a2,a3,a4,a6] |
j |
-27970575299761811503249/22118499134120 |
j-invariant |
L |
3.3882287156198 |
L(r)(E,1)/r! |
Ω |
0.56470478593664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550e1 |
Quadratic twists by: 5 |