Atkin-Lehner |
2- 3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938s |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
48389731895232 = 26 · 34 · 7 · 132 · 534 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-404324,98921808] |
[a1,a2,a3,a4,a6] |
Generators |
[-626:10648:1] |
Generators of the group modulo torsion |
j |
7309915261853365901377/48389731895232 |
j-invariant |
L |
8.5897697157882 |
L(r)(E,1)/r! |
Ω |
0.5674945637431 |
Real period |
R |
1.2613585903995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86814o4 |
Quadratic twists by: -3 |