Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365f |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1838154580427025 = 310 · 52 · 72 · 714 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4763745,4003133400] |
[a1,a2,a3,a4,a6] |
j |
16399920883612419432721/2521474047225 |
j-invariant |
L |
1.4700033461056 |
L(r)(E,1)/r! |
Ω |
0.36750083652641 |
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 |
7455g3 111825p4 |
Quadratic twists by: -3 5 |