Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584y |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
70839435264 = 218 · 3 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 4 1 13- 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1040,-2028] |
[a1,a2,a3,a4,a6] |
j |
30400540561/17294784 |
j-invariant |
L |
5.4511252018534 |
L(r)(E,1)/r! |
Ω |
0.90852086697557 |
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 |
3198e1 102336bn1 76752cj1 |
Quadratic twists by: -4 8 -3 |