Atkin-Lehner |
2- 3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906bq |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
38073926651904 = 212 · 36 · 11 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11651,-379389] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:338:1] |
Generators of the group modulo torsion |
j |
239911377605353/52227608576 |
j-invariant |
L |
9.521105402829 |
L(r)(E,1)/r! |
Ω |
0.46664098116819 |
Real period |
R |
0.56676365932463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434c1 |
Quadratic twists by: -3 |