Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ca |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
143778164062500 = 22 · 39 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19917,920241] |
[a1,a2,a3,a4,a6] |
Generators |
[24:663:1] |
Generators of the group modulo torsion |
j |
76711450249/12622500 |
j-invariant |
L |
4.3432264653122 |
L(r)(E,1)/r! |
Ω |
0.55455784128974 |
Real period |
R |
0.97898409804104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dk1 16830cn1 |
Quadratic twists by: -3 5 |