Atkin-Lehner |
2- 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582d |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-1673700731715584 = -1 · 216 · 11 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 1 3 -4 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1208229,-511282303] |
[a1,a2,a3,a4,a6] |
Generators |
[12754:1428455:1] |
Generators of the group modulo torsion |
j |
-195061473718063000264657/1673700731715584 |
j-invariant |
L |
8.2016241818014 |
L(r)(E,1)/r! |
Ω |
0.071999920962488 |
Real period |
R |
7.1194732509451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656w1 95238bm1 116402u1 |
Quadratic twists by: -4 -3 -11 |