Atkin-Lehner |
2+ 3+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050i |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
53802000 = 24 · 32 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2795,55725] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-25:1] [-34:353:1] |
Generators of the group modulo torsion |
j |
19328666758253/430416 |
j-invariant |
L |
6.4425324634519 |
L(r)(E,1)/r! |
Ω |
1.8412493945885 |
Real period |
R |
0.87475011293745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64050cs1 |
Quadratic twists by: 5 |