Atkin-Lehner |
3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275bk |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-780096474320625 = -1 · 39 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ 4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14470,-1168478] |
[a1,a2,a3,a4,a6] |
j |
4725/11 |
j-invariant |
L |
1.5662371635911 |
L(r)(E,1)/r! |
Ω |
0.26103963137037 |
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 |
121275bp1 121275d1 121275bv1 |
Quadratic twists by: -3 5 -7 |