Atkin-Lehner |
2- 3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190z |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
725610000 = 24 · 3 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1545,22695] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:1479:8] |
Generators of the group modulo torsion |
j |
407874666635281/725610000 |
j-invariant |
L |
9.133750532574 |
L(r)(E,1)/r! |
Ω |
1.6045721189802 |
Real period |
R |
2.8461639163895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114570j1 |
Quadratic twists by: -3 |