Atkin-Lehner |
2- 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550bm |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
44246250000 = 24 · 34 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92213,10739531] |
[a1,a2,a3,a4,a6] |
j |
5549839638048649/2831760 |
j-invariant |
L |
1.8658940640802 |
L(r)(E,1)/r! |
Ω |
0.93294703389618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13110k1 |
Quadratic twists by: 5 |