Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160bd |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-5341178880000 = -1 · 213 · 39 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14067,-651726] |
[a1,a2,a3,a4,a6] |
j |
-3818360547/66250 |
j-invariant |
L |
3.5034178987184 |
L(r)(E,1)/r! |
Ω |
0.21896361866979 |
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 |
4770e1 38160p1 |
Quadratic twists by: -4 -3 |