Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101728d |
Isogeny class |
Conductor |
101728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-1087542308864 = -1 · 212 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,771,-49237] |
[a1,a2,a3,a4,a6] |
j |
512/11 |
j-invariant |
L |
1.6932708823888 |
L(r)(E,1)/r! |
Ω |
0.42331791012493 |
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 |
101728i1 352d1 |
Quadratic twists by: -4 17 |