Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712eo |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1047951141821743104 = 222 · 310 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14217996,-20634999280] |
[a1,a2,a3,a4,a6] |
j |
1663303207415737537/5483698704 |
j-invariant |
L |
2.4879411726574 |
L(r)(E,1)/r! |
Ω |
0.077748146379944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712ba4 26928bc4 35904bt4 |
Quadratic twists by: -4 8 -3 |