Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bh |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
96698105856 = 219 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ 3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6843,-217366] |
[a1,a2,a3,a4,a6] |
Generators |
[109:576:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
5.6979033128904 |
L(r)(E,1)/r! |
Ω |
0.52499980994247 |
Real period |
R |
1.3566441370509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554bi1 4048l1 |
Quadratic twists by: -4 -3 |