Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dm |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-187445145600000000 = -1 · 218 · 310 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,140325,4954250] |
[a1,a2,a3,a4,a6] |
Generators |
[29:3008:1] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
5.6398987268106 |
L(r)(E,1)/r! |
Ω |
0.19687675525861 |
Real period |
R |
3.5808561576538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cn1 37200bg1 22320bu1 |
Quadratic twists by: -4 -3 5 |