Atkin-Lehner |
2+ 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266g |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2526720 |
Modular degree for the optimal curve |
Δ |
-1.834864416382E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -3 7 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585480,268858688] |
[a1,a2,a3,a4,a6] |
j |
-822046827643887000987/679579413474820096 |
j-invariant |
L |
3.1950849179652 |
L(r)(E,1)/r! |
Ω |
0.1996928073821 |
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 |
49266bj1 |
Quadratic twists by: -3 |