Atkin-Lehner |
2+ 3- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906l |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-15296643200577024 = -1 · 29 · 314 · 113 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11+ 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38205,-5219883] |
[a1,a2,a3,a4,a6] |
Generators |
[633:16185:1] |
Generators of the group modulo torsion |
j |
8459611163574479/20983049657856 |
j-invariant |
L |
3.2963904528641 |
L(r)(E,1)/r! |
Ω |
0.20314040680984 |
Real period |
R |
4.0567882390488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302x1 |
Quadratic twists by: -3 |