Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ee |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-4477665645114163200 = -1 · 227 · 316 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-205635,107949890] |
[a1,a2,a3,a4,a6] |
Generators |
[334:8748:1] |
Generators of the group modulo torsion |
j |
-12882119799145/59982446592 |
j-invariant |
L |
4.6988348816017 |
L(r)(E,1)/r! |
Ω |
0.21295661525731 |
Real period |
R |
2.7580940101062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999991907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950ba1 37200bo1 111600gb2 |
Quadratic twists by: -4 -3 5 |