Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712ct |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21227336368128 = 219 · 39 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-313740,-67639536] |
[a1,a2,a3,a4,a6] |
j |
661914925875/4114 |
j-invariant |
L |
1.6137911396153 |
L(r)(E,1)/r! |
Ω |
0.20172384781198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712l2 26928z2 107712db2 |
Quadratic twists by: -4 8 -3 |