Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bm |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-11299500000000 = -1 · 28 · 36 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,231500] |
[a1,a2,a3,a4,a6] |
Generators |
[-2445:1925:27] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
7.3494436465935 |
L(r)(E,1)/r! |
Ω |
0.66641404315622 |
Real period |
R |
5.5141722431919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800br1 12400g1 22320i1 |
Quadratic twists by: -4 -3 5 |