Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
90246bc |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-86497542144 = -1 · 214 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -5 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,484,13584] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-332:1] |
Generators of the group modulo torsion |
j |
5706550403/39370752 |
j-invariant |
L |
8.3446179950631 |
L(r)(E,1)/r! |
Ω |
0.78274457044246 |
Real period |
R |
0.12691329214758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90246l1 |
Quadratic twists by: 13 |