Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692i |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
5534225424 = 24 · 33 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549,3421] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:39:1] [-15:91:1] |
Generators of the group modulo torsion |
j |
42360102144/12810707 |
j-invariant |
L |
8.8361055046284 |
L(r)(E,1)/r! |
Ω |
1.2556535305495 |
Real period |
R |
1.1728428383641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55692k2 |
Quadratic twists by: -3 |