Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275z |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5801871796875 = -1 · 39 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9450,-372094] |
[a1,a2,a3,a4,a6] |
Generators |
[126:661:1] |
Generators of the group modulo torsion |
j |
-884736/55 |
j-invariant |
L |
4.9933113459045 |
L(r)(E,1)/r! |
Ω |
0.24124145509215 |
Real period |
R |
2.5872996004808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275n1 24255j1 121275ba1 |
Quadratic twists by: -3 5 -7 |