Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745r |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.8652778117096E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-212913608,551125797306] |
[a1,a2,a3,a4,a6] |
Generators |
[-12658:1109931:1] |
Generators of the group modulo torsion |
j |
1464220356477290915418974521/667390646325049907814225 |
j-invariant |
L |
3.9368962779272 |
L(r)(E,1)/r! |
Ω |
0.047004177142663 |
Real period |
R |
5.2347691462674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33915j2 |
Quadratic twists by: -3 |