Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730bb |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
1272806113280 = 219 · 5 · 134 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23410,1375620] |
[a1,a2,a3,a4,a6] |
Generators |
[92:6:1] |
Generators of the group modulo torsion |
j |
49677039188881/44564480 |
j-invariant |
L |
6.8298171995952 |
L(r)(E,1)/r! |
Ω |
0.85534128916457 |
Real period |
R |
0.14008601700486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730e1 |
Quadratic twists by: 13 |