Atkin-Lehner |
2- 3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544h |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-268383873258749952 = -1 · 219 · 38 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227568,-48578112] |
[a1,a2,a3,a4,a6] |
Generators |
[794651154:-57809414718:148877] |
Generators of the group modulo torsion |
j |
-318199322523552625/65523406557312 |
j-invariant |
L |
4.8801383322626 |
L(r)(E,1)/r! |
Ω |
0.10809699794188 |
Real period |
R |
11.286479794024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818d2 115632bd2 |
Quadratic twists by: -4 -3 |