Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958f |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6200064 |
Modular degree for the optimal curve |
Δ |
1081729060810802688 = 29 · 3 · 17 · 2310 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -5 4 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14977323,22303696125] |
[a1,a2,a3,a4,a6] |
j |
8969081798761/26112 |
j-invariant |
L |
2.1605736648017 |
L(r)(E,1)/r! |
Ω |
0.24006374020861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958o1 |
Quadratic twists by: -23 |