Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712cu |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-213161475833856 = -1 · 218 · 33 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12084,481680] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
2.9830900955336 |
L(r)(E,1)/r! |
Ω |
0.37288630687614 |
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 |
107712m2 26928ba2 107712dc2 |
Quadratic twists by: -4 8 -3 |