Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14484b |
Isogeny class |
Conductor |
14484 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
67680 |
Modular degree for the optimal curve |
Δ |
-658604440590192 = -1 · 24 · 34 · 175 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37102,-3002783] |
[a1,a2,a3,a4,a6] |
Generators |
[328:4473:1] |
Generators of the group modulo torsion |
j |
-353026574041969408/41162777536887 |
j-invariant |
L |
5.1879734984117 |
L(r)(E,1)/r! |
Ω |
0.17087682742964 |
Real period |
R |
1.6867164158373 |
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 |
57936r1 43452f1 |
Quadratic twists by: -4 -3 |