Atkin-Lehner |
2+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
18584b |
Isogeny class |
Conductor |
18584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
854864 = 24 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
121485312/53429 |
j-invariant |
L |
3.3769620957101 |
L(r)(E,1)/r! |
Ω |
2.5319529109269 |
Real period |
R |
1.3337381122439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37168a1 |
Quadratic twists by: -4 |