Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cg |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2249035776 = 212 · 32 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1977,34425] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:260:1] |
Generators of the group modulo torsion |
j |
208738917568/549081 |
j-invariant |
L |
6.129569319389 |
L(r)(E,1)/r! |
Ω |
1.4640281410688 |
Real period |
R |
2.0933919053316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47424cw2 23712q1 |
Quadratic twists by: -4 8 |