Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150eu |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
1.2702438082688E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46225805,119759254197] |
[a1,a2,a3,a4,a6] |
Generators |
[-2545:471288:1] |
Generators of the group modulo torsion |
j |
959024269496848362625/11151660319506432 |
j-invariant |
L |
10.5301206851 |
L(r)(E,1)/r! |
Ω |
0.10469561851633 |
Real period |
R |
0.83815356313234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050n1 3366e1 |
Quadratic twists by: -3 5 |