Atkin-Lehner |
2- 3+ 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bh |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
1535422500 = 22 · 33 · 54 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1472,-21281] |
[a1,a2,a3,a4,a6] |
j |
13055898088323/56867500 |
j-invariant |
L |
6.1680723747896 |
L(r)(E,1)/r! |
Ω |
0.77100903596999 |
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 |
89010a1 |
Quadratic twists by: -3 |