Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bi |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-105479360000000 = -1 · 212 · 57 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-532645,-149803757] |
[a1,a2,a3,a4,a6] |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
3.711155511814 |
L(r)(E,1)/r! |
Ω |
0.088360845519381 |
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 |
1085h1 69440cu1 86800y1 121520bv1 |
Quadratic twists by: -4 8 5 -7 |