Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350dt |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-35786040468750 = -1 · 2 · 36 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12755,-621503] |
[a1,a2,a3,a4,a6] |
j |
-20145851361/3141710 |
j-invariant |
L |
3.5633530265572 |
L(r)(E,1)/r! |
Ω |
0.22270956437908 |
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 |
7150k1 12870j1 |
Quadratic twists by: -3 5 |