Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2535f |
Isogeny class |
Conductor |
2535 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.8723991546631E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1340174,-650564653] |
[a1,a2,a3,a4,a6] |
j |
-55150149867714721/5950927734375 |
j-invariant |
L |
2.2314748752379 |
L(r)(E,1)/r! |
Ω |
0.069733589851185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560bg7 7605p8 12675e8 124215bd7 |
Quadratic twists by: -4 -3 5 -7 |