Atkin-Lehner |
3- 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705l |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
1224341802978515625 = 3 · 514 · 292 · 433 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1319313,580725463] |
[a1,a2,a3,a4,a6] |
j |
253960845577709976981001/1224341802978515625 |
j-invariant |
L |
1.9213231294218 |
L(r)(E,1)/r! |
Ω |
0.27447473277455 |
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 |
56115f2 93525i2 |
Quadratic twists by: -3 5 |