Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424o |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
61461504 = 210 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80029,-8687411] |
[a1,a2,a3,a4,a6] |
j |
55356847905445888/60021 |
j-invariant |
L |
0.56769785166054 |
L(r)(E,1)/r! |
Ω |
0.28384892574149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cz1 5928h1 |
Quadratic twists by: -4 8 |