Atkin-Lehner |
7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
637b |
Isogeny class |
Conductor |
637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-61718299629259 = -1 · 715 · 13 |
Discriminant |
Eigenvalues |
0 2 3 7- 0 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5749,415463] |
[a1,a2,a3,a4,a6] |
j |
-178643795968/524596891 |
j-invariant |
L |
2.192809362283 |
L(r)(E,1)/r! |
Ω |
0.54820234057076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10192bb3 40768bw3 5733f3 15925m3 |
Quadratic twists by: -4 8 -3 5 |