Atkin-Lehner |
2+ 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
9130c |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61600 |
Modular degree for the optimal curve |
Δ |
-68440232960 = -1 · 210 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46534,3875380] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-46:1] |
Generators of the group modulo torsion |
j |
-11143974723502193721/68440232960 |
j-invariant |
L |
2.0484037362502 |
L(r)(E,1)/r! |
Ω |
0.97819823649501 |
Real period |
R |
1.0470289455795 |
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 |
73040t1 82170bs1 45650s1 100430bj1 |
Quadratic twists by: -4 -3 5 -11 |