Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bo |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-110545406400000000 = -1 · 212 · 3 · 58 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3549313,-2575267969] |
[a1,a2,a3,a4,a6] |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
1.3199094633219 |
L(r)(E,1)/r! |
Ω |
0.054996227638414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350bm3 4290o3 |
Quadratic twists by: -3 5 |