Atkin-Lehner |
2+ 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
125208b |
Isogeny class |
Conductor |
125208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-108071532288 = -1 · 28 · 38 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,12922] |
[a1,a2,a3,a4,a6] |
j |
332750000/579087 |
j-invariant |
L |
2.8979790137031 |
L(r)(E,1)/r! |
Ω |
0.72449460768398 |
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 |
41736h1 |
Quadratic twists by: -3 |