Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745r |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15630336 |
Modular degree for the optimal curve |
Δ |
-8.2431663906184E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,46502437,64668829722] |
[a1,a2,a3,a4,a6] |
Generators |
[-130156598:-731566396677:2924207] |
Generators of the group modulo torsion |
j |
15255390597206853237038999/11307498478214584873815 |
j-invariant |
L |
3.9368962779272 |
L(r)(E,1)/r! |
Ω |
0.047004177142663 |
Real period |
R |
10.469538292535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915j1 |
Quadratic twists by: -3 |