Atkin-Lehner |
2+ 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10582a |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1456000 |
Modular degree for the optimal curve |
Δ |
-1.1108678491128E+23 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1569399,-16054251499] |
[a1,a2,a3,a4,a6] |
j |
-427488325794098031242233/111086784911280870055936 |
j-invariant |
L |
0.6599482107782 |
L(r)(E,1)/r! |
Ω |
0.047139157912729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656k1 95238cb1 116402be1 |
Quadratic twists by: -4 -3 -11 |