Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bh |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
152543250000 = 24 · 39 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62850,-6064625] |
[a1,a2,a3,a4,a6] |
Generators |
[10409487:6571088:35937] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
7.880044226745 |
L(r)(E,1)/r! |
Ω |
0.30152503666694 |
Real period |
R |
13.066981615204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800j1 37200w1 4464i1 |
Quadratic twists by: -4 -3 5 |