Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596k |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
162200462806257408 = 28 · 312 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1989975,-1080313234] |
[a1,a2,a3,a4,a6] |
Generators |
[-818:378:1] |
Generators of the group modulo torsion |
j |
967473250000/180063 |
j-invariant |
L |
6.4299092928667 |
L(r)(E,1)/r! |
Ω |
0.12711374087543 |
Real period |
R |
4.2153253286671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532a2 8892h2 |
Quadratic twists by: -3 13 |