Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368f |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.158488454498E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2065752,-4492790388] |
[a1,a2,a3,a4,a6] |
j |
-268702931670626/2248659199809 |
j-invariant |
L |
1.9922204709961 |
L(r)(E,1)/r! |
Ω |
0.055339457537539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bc3 4488f4 |
Quadratic twists by: -4 -11 |