Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dd |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-864278777150118000 = -1 · 24 · 315 · 53 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,233838,-10372604] |
[a1,a2,a3,a4,a6] |
j |
15517808558617483/9484540764336 |
j-invariant |
L |
1.3025512079328 |
L(r)(E,1)/r! |
Ω |
0.16281890562707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050cs1 84150gg1 |
Quadratic twists by: -3 5 |