Atkin-Lehner |
2- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150g |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
94082544200000000 = 29 · 58 · 234 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1717963,-866717583] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:729:1] [-754:705:1] |
Generators of the group modulo torsion |
j |
35887658229448104169/6021282828800 |
j-invariant |
L |
9.6346147766791 |
L(r)(E,1)/r! |
Ω |
0.13187135670831 |
Real period |
R |
4.0589282604113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430c2 |
Quadratic twists by: 5 |