Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550o |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
620458281000000 = 26 · 32 · 56 · 194 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72475,-7443875] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:320:1] |
Generators of the group modulo torsion |
j |
2694497104134577/39709329984 |
j-invariant |
L |
2.1974646614703 |
L(r)(E,1)/r! |
Ω |
0.29123218517188 |
Real period |
R |
0.94317557109295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004137 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2622e2 |
Quadratic twists by: 5 |