Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160s |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-136633922979840 = -1 · 211 · 33 · 5 · 113 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201136,-34657844] |
[a1,a2,a3,a4,a6] |
j |
-439405355845493858/66715782705 |
j-invariant |
L |
1.6907688184345 |
L(r)(E,1)/r! |
Ω |
0.11271792122897 |
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 |
34320r1 51480u1 85800bd1 |
Quadratic twists by: -4 -3 5 |