Atkin-Lehner |
2+ 3+ 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010g |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1303615505298816000 = -1 · 210 · 39 · 53 · 234 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22344,-54942400] |
[a1,a2,a3,a4,a6] |
j |
-62679586226067/66230529152000 |
j-invariant |
L |
2.9421422688744 |
L(r)(E,1)/r! |
Ω |
0.12258926085222 |
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 |
89010bb1 |
Quadratic twists by: -3 |