Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040r |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8667648 |
Modular degree for the optimal curve |
Δ |
-6.3221613492307E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -5 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1123757,1119474962] |
[a1,a2,a3,a4,a6] |
Generators |
[-266319:18731008:729] |
Generators of the group modulo torsion |
j |
38316073193861735511/154349642315202560 |
j-invariant |
L |
9.2225930042952 |
L(r)(E,1)/r! |
Ω |
0.1157354352412 |
Real period |
R |
4.9804284889751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15130d1 |
Quadratic twists by: -4 |