Atkin-Lehner |
5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145o |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
13265525 = 52 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 5 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:17:1] |
Generators of the group modulo torsion |
j |
12845056/5525 |
j-invariant |
L |
3.5135674723145 |
L(r)(E,1)/r! |
Ω |
2.0194073835857 |
Real period |
R |
0.28998338002778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145j1 |
Quadratic twists by: -7 |