Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816bp |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
812544 |
Modular degree for the optimal curve |
Δ |
-45598436951215104 = -1 · 210 · 323 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11+ -4 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90541,-14650163] |
[a1,a2,a3,a4,a6] |
j |
-80161237430634496/44529723585171 |
j-invariant |
L |
0.26830090397633 |
L(r)(E,1)/r! |
Ω |
0.13415050350972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bk1 22704o1 |
Quadratic twists by: -4 8 |