Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dm |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-1128353828928046875 = -1 · 313 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1392825,634753656] |
[a1,a2,a3,a4,a6] |
Generators |
[560:5512:1] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
3.4257594321118 |
L(r)(E,1)/r! |
Ω |
0.2761834107627 |
Real period |
R |
1.5504911145757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cq1 24255bf1 17325bc1 |
Quadratic twists by: -3 5 -7 |