Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400w |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-524800000000 = -1 · 215 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 5 -6 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,36250] |
[a1,a2,a3,a4,a6] |
j |
-46305/328 |
j-invariant |
L |
1.5932618631766 |
L(r)(E,1)/r! |
Ω |
0.79663093158832 |
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 |
2050g1 65600cj1 16400t1 |
Quadratic twists by: -4 8 5 |