Atkin-Lehner |
3+ 11+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25311a |
Isogeny class |
Conductor |
25311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15595043607 = 32 · 11 · 13 · 594 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11+ 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6936,-225171] |
[a1,a2,a3,a4,a6] |
j |
36910403857687177/15595043607 |
j-invariant |
L |
1.0462973833001 |
L(r)(E,1)/r! |
Ω |
0.52314869165006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75933e4 |
Quadratic twists by: -3 |