Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bh |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
13113358492320 = 25 · 36 · 5 · 172 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 5 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9068,-280753] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:247:1] |
Generators of the group modulo torsion |
j |
113106045269881/17988146080 |
j-invariant |
L |
11.597093955309 |
L(r)(E,1)/r! |
Ω |
0.49449747257088 |
Real period |
R |
2.3452281539761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410e1 |
Quadratic twists by: -3 |