Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150eo |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
7925760 |
Modular degree for the optimal curve |
Δ |
-1.6194575487699E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32596805,-74194967303] |
[a1,a2,a3,a4,a6] |
Generators |
[1789655:192502006:125] |
Generators of the group modulo torsion |
j |
-99638566682510799/4212580729412 |
j-invariant |
L |
10.611588651489 |
L(r)(E,1)/r! |
Ω |
0.031513923073667 |
Real period |
R |
7.0151457489613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150u1 84150y1 |
Quadratic twists by: -3 5 |