Atkin-Lehner |
3- 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45747j |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
491539209057 = 39 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2381,29940] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:285:1] [50:159:1] |
Generators of the group modulo torsion |
j |
2046931732873/674265033 |
j-invariant |
L |
5.2654195100073 |
L(r)(E,1)/r! |
Ω |
0.85912910457984 |
Real period |
R |
6.1287872590239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15249d1 |
Quadratic twists by: -3 |