Atkin-Lehner |
2- 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bn |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-195836752517400 = -1 · 23 · 316 · 52 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11272,-493869] |
[a1,a2,a3,a4,a6] |
j |
217287750665159/268637520600 |
j-invariant |
L |
3.636454116349 |
L(r)(E,1)/r! |
Ω |
0.30303784259843 |
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 |
29670e2 |
Quadratic twists by: -3 |