Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450c |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
185760 |
Modular degree for the optimal curve |
Δ |
22828203125000 = 23 · 510 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21992,-1228584] |
[a1,a2,a3,a4,a6] |
Generators |
[-205465:234922:2197] |
Generators of the group modulo torsion |
j |
120456144225/2337608 |
j-invariant |
L |
3.6776700181364 |
L(r)(E,1)/r! |
Ω |
0.39250433657841 |
Real period |
R |
9.3697563913061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bs1 |
Quadratic twists by: 5 |