Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
82960h |
Isogeny class |
Conductor |
82960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30412800 |
Modular degree for the optimal curve |
Δ |
2.3633993367107E+25 |
Discriminant |
Eigenvalues |
2- 2 5- -4 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86959560,-206639119888] |
[a1,a2,a3,a4,a6] |
Generators |
[7881566013947830005423:-708397472040074416445066:530219622568146939] |
Generators of the group modulo torsion |
j |
17754799407846103454295241/5770017911891264798720 |
j-invariant |
L |
10.02577524821 |
L(r)(E,1)/r! |
Ω |
0.050717675488449 |
Real period |
R |
32.946354978426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10370c1 |
Quadratic twists by: -4 |