Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ec |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4053789312890625 = 36 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46167,2290616] |
[a1,a2,a3,a4,a6] |
j |
8120601/3025 |
j-invariant |
L |
3.2124117793758 |
L(r)(E,1)/r! |
Ω |
0.4015515950737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13475e2 24255bv2 2475j2 |
Quadratic twists by: -3 5 -7 |