Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816bk |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
46 |
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] |
Generators |
[-361:648:1] [206:-2187:1] |
Generators of the group modulo torsion |
j |
-80161237430634496/44529723585171 |
j-invariant |
L |
12.443825141842 |
L(r)(E,1)/r! |
Ω |
0.33354555462992 |
Real period |
R |
0.81103745531682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bp1 11352g1 |
Quadratic twists by: -4 8 |