Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bm |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
23448960 |
Modular degree for the optimal curve |
Δ |
-2.4906206011392E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 5 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2743763,24073587281] |
[a1,a2,a3,a4,a6] |
Generators |
[1251:-150962:1] |
Generators of the group modulo torsion |
j |
-233917904365884025/25503954955665408 |
j-invariant |
L |
6.9626958692345 |
L(r)(E,1)/r! |
Ω |
0.080957499335426 |
Real period |
R |
0.62321981705998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650bd1 |
Quadratic twists by: 5 |