Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600ci |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-3358720000 = -1 · 217 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -2 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22700,-1316400] |
[a1,a2,a3,a4,a6] |
j |
-15791062050/41 |
j-invariant |
L |
1.166847973473 |
L(r)(E,1)/r! |
Ω |
0.19447466276513 |
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 |
65600bb1 16400m1 65600bv1 |
Quadratic twists by: -4 8 5 |