Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536by |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
652087296 = 212 · 32 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-537,-4455] |
[a1,a2,a3,a4,a6] |
Generators |
[39:180:1] |
Generators of the group modulo torsion |
j |
4188852928/159201 |
j-invariant |
L |
5.3829773301705 |
L(r)(E,1)/r! |
Ω |
0.99392514817805 |
Real period |
R |
2.7079389932119 |
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 |
25536de2 12768h1 76608el2 |
Quadratic twists by: -4 8 -3 |