Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080x |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-978279464960000 = -1 · 228 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9292,-1543824] |
[a1,a2,a3,a4,a6] |
j |
-338463151209/3731840000 |
j-invariant |
L |
2.5248753450654 |
L(r)(E,1)/r! |
Ω |
0.21040627875609 |
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 |
38080bn1 1190a1 |
Quadratic twists by: -4 8 |