Atkin-Lehner |
2- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450x |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
1722240 |
Modular degree for the optimal curve |
Δ |
-3428557095040000000 = -1 · 213 · 57 · 73 · 11 · 175 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1678338,841476292] |
[a1,a2,a3,a4,a6] |
Generators |
[1032:13934:1] |
Generators of the group modulo torsion |
j |
-33461236500474563929/219427654082560 |
j-invariant |
L |
6.5872106616056 |
L(r)(E,1)/r! |
Ω |
0.25195577508428 |
Real period |
R |
0.1005550502357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090c1 |
Quadratic twists by: 5 |