Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220be |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-1903657198060800 = -1 · 28 · 34 · 52 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48820,-4668700] |
[a1,a2,a3,a4,a6] |
j |
-177953104/26325 |
j-invariant |
L |
3.8229021382252 |
L(r)(E,1)/r! |
Ω |
0.15928758909196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660bc1 38220a1 |
Quadratic twists by: -3 -7 |