Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ds |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
372680000 = 26 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7133,-229513] |
[a1,a2,a3,a4,a6] |
j |
1003555225600/9317 |
j-invariant |
L |
4.6754039755133 |
L(r)(E,1)/r! |
Ω |
0.51948937199204 |
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 |
123200gx2 1925k2 123200ba2 |
Quadratic twists by: -4 8 5 |