Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576i |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1031168 |
Modular degree for the optimal curve |
Δ |
-163547036549125632 = -1 · 29 · 325 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110595,-24062074] |
[a1,a2,a3,a4,a6] |
Generators |
[1658128915:32116396806:2685619] |
Generators of the group modulo torsion |
j |
-400804604117000/438172573059 |
j-invariant |
L |
9.6241071308064 |
L(r)(E,1)/r! |
Ω |
0.12550298552424 |
Real period |
R |
9.5855360141723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576j1 36192u1 |
Quadratic twists by: -4 -3 |