Atkin-Lehner |
2+ 5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21730a |
Isogeny class |
Conductor |
21730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
67906250000000 = 27 · 512 · 41 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1483760,-695283584] |
[a1,a2,a3,a4,a6] |
j |
361255820946173509790169/67906250000000 |
j-invariant |
L |
1.0943307885914 |
L(r)(E,1)/r! |
Ω |
0.13679134857393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108650m4 |
Quadratic twists by: 5 |