Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450bf |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-4925555419921875000 = -1 · 23 · 39 · 517 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-561980,194294647] |
[a1,a2,a3,a4,a6] |
Generators |
[16459:2101145:1] |
Generators of the group modulo torsion |
j |
-63822564229347/16015625000 |
j-invariant |
L |
8.746328208073 |
L(r)(E,1)/r! |
Ω |
0.23152268920354 |
Real period |
R |
1.5740588676502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18450c1 3690c1 |
Quadratic twists by: -3 5 |