Atkin-Lehner |
3+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
45135c |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
39132045 = 33 · 5 · 173 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 2 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1098,-14001] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1:1] |
Generators of the group modulo torsion |
j |
5422093074432/1449335 |
j-invariant |
L |
5.4842712920827 |
L(r)(E,1)/r! |
Ω |
0.82938454072071 |
Real period |
R |
1.102076504287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45135d1 |
Quadratic twists by: -3 |