Atkin-Lehner |
2+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632g |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-90533888 = -1 · 212 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,-480] |
[a1,a2,a3,a4,a6] |
j |
-3796416/22103 |
j-invariant |
L |
1.5928420527087 |
L(r)(E,1)/r! |
Ω |
0.7964210264674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632a1 22816d1 |
Quadratic twists by: -4 8 |