Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-531394560 = -1 · 212 · 33 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
-11852352/4805 |
j-invariant |
L |
6.8365785936822 |
L(r)(E,1)/r! |
Ω |
1.5443204182391 |
Real period |
R |
1.106729295881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dd1 44640bf1 89280dw1 |
Quadratic twists by: -4 8 -3 |