Atkin-Lehner |
2+ 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642l |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2143680 |
Modular degree for the optimal curve |
Δ |
1.3517035393427E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5081574,-4405927880] |
[a1,a2,a3,a4,a6] |
j |
119931421703350028723809/111711036309313536 |
j-invariant |
L |
1.4078368312059 |
L(r)(E,1)/r! |
Ω |
0.1005597736833 |
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 |
48642bb1 |
Quadratic twists by: -11 |