Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280da |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5331773030400 = -1 · 220 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-109136] |
[a1,a2,a3,a4,a6] |
j |
1685159/27900 |
j-invariant |
L |
1.4907943280366 |
L(r)(E,1)/r! |
Ω |
0.37269860608354 |
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 |
89280fi1 2790y1 29760bc1 |
Quadratic twists by: -4 8 -3 |