Atkin-Lehner |
2- 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bm |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5282351899140685824 = 218 · 310 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-807864,256946544] |
[a1,a2,a3,a4,a6] |
j |
14235707906036108857/1289636694126144 |
j-invariant |
L |
1.8838130933343 |
L(r)(E,1)/r! |
Ω |
0.23547666056144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15834g2 |
Quadratic twists by: -4 |