Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ei |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-73063296000000 = -1 · 213 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18075,-1021750] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
3.2733434430654 |
L(r)(E,1)/r! |
Ω |
0.20458398991338 |
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 |
13050bg1 34800bs1 4176bb1 |
Quadratic twists by: -4 -3 5 |