Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bp |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1070091185625 = -1 · 33 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1608,42741] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:153:1] |
Generators of the group modulo torsion |
j |
4725/11 |
j-invariant |
L |
9.4497778823705 |
L(r)(E,1)/r! |
Ω |
0.60800135624776 |
Real period |
R |
0.86346462403135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bk1 121275j1 121275cc1 |
Quadratic twists by: -3 5 -7 |