Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275d |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.218900741126E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,361758,-145697959] |
[a1,a2,a3,a4,a6] |
Generators |
[440549086003978360:5808270090853978513:1263319614408727] |
Generators of the group modulo torsion |
j |
4725/11 |
j-invariant |
L |
6.5995059680998 |
L(r)(E,1)/r! |
Ω |
0.11674047211312 |
Real period |
R |
28.265715602489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275j1 121275bk1 121275t1 |
Quadratic twists by: -3 5 -7 |