Atkin-Lehner |
3+ 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935d |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
808479225 = 39 · 52 · 31 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-879,10160] |
[a1,a2,a3,a4,a6] |
j |
3818360547/41075 |
j-invariant |
L |
1.5962428082948 |
L(r)(E,1)/r! |
Ω |
1.5962427915665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73935b1 |
Quadratic twists by: -3 |