Atkin-Lehner |
2- 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642u |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
20939861649366 = 2 · 36 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8291,-193093] |
[a1,a2,a3,a4,a6] |
j |
294039889/97686 |
j-invariant |
L |
3.0819777214711 |
L(r)(E,1)/r! |
Ω |
0.51366295360217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48642j1 |
Quadratic twists by: -11 |