Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
74592s |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
20534165983296 = 26 · 314 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18129,-913880] |
[a1,a2,a3,a4,a6] |
j |
14123351136448/440118441 |
j-invariant |
L |
3.2978022572618 |
L(r)(E,1)/r! |
Ω |
0.41222528200804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74592i1 24864ba1 |
Quadratic twists by: -4 -3 |