Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640ck |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68678400 = 28 · 3 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1156,14744] |
[a1,a2,a3,a4,a6] |
j |
667932971344/268275 |
j-invariant |
L |
1.9190446940055 |
L(r)(E,1)/r! |
Ω |
1.9190446972146 |
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 |
30660b2 |
Quadratic twists by: -4 |