Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816cs |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-152002597774224384 = -1 · 210 · 311 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51019,-18208917] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4356:1] |
Generators of the group modulo torsion |
j |
14342044606398464/148440036888891 |
j-invariant |
L |
6.7093401733259 |
L(r)(E,1)/r! |
Ω |
0.16020141073748 |
Real period |
R |
0.27195231168951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816c1 22704r1 |
Quadratic twists by: -4 8 |