Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932y |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
57883451472 = 24 · 39 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280,40273] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-297:1] [-52:135:1] |
Generators of the group modulo torsion |
j |
112377856000/4962573 |
j-invariant |
L |
10.87494923366 |
L(r)(E,1)/r! |
Ω |
1.1019308012603 |
Real period |
R |
0.8224162247249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644k1 |
Quadratic twists by: -3 |