Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bg |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
5.659170110889E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1890522,-933535101] |
[a1,a2,a3,a4,a6] |
j |
154813496529595177/11724454211652 |
j-invariant |
L |
4.1398022137521 |
L(r)(E,1)/r! |
Ω |
0.12936881595547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282e1 |
Quadratic twists by: 13 |