Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160t |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6836708966400 = 218 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7815123,8409144978] |
[a1,a2,a3,a4,a6] |
Generators |
[203555:125666:125] |
Generators of the group modulo torsion |
j |
654756659970817923/84800 |
j-invariant |
L |
5.9222681953771 |
L(r)(E,1)/r! |
Ω |
0.42645803541287 |
Real period |
R |
6.9435532966851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770c2 38160ba2 |
Quadratic twists by: -4 -3 |