Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720dh |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-4685120 = -1 · 26 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,130] |
[a1,a2,a3,a4,a6] |
j |
-7744/5 |
j-invariant |
L |
2.2560285969611 |
L(r)(E,1)/r! |
Ω |
2.2560285969627 |
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 |
38720dk1 19360d1 38720dg1 |
Quadratic twists by: -4 8 -11 |