Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165c |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5147963907425161875 = 312 · 54 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2958348,-1956681423] |
[a1,a2,a3,a4,a6] |
Generators |
[98847634386483094:-54578616658310480597:324809395624] |
Generators of the group modulo torsion |
j |
593214295178117521/1066535656875 |
j-invariant |
L |
6.0156488724786 |
L(r)(E,1)/r! |
Ω |
0.11512883839797 |
Real period |
R |
26.125725562006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705c3 |
Quadratic twists by: 13 |