Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160f |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
75401040 = 24 · 3 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111,-210] |
[a1,a2,a3,a4,a6] |
j |
9538484224/4712565 |
j-invariant |
L |
3.0921303851131 |
L(r)(E,1)/r! |
Ω |
1.5460651925565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320a1 51480bs1 85800bv1 |
Quadratic twists by: -4 -3 5 |