Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520w |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4387337123840000 = 214 · 54 · 11 · 794 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348747,1385483386] |
[a1,a2,a3,a4,a6] |
j |
349842428705598175521/1071127227500 |
j-invariant |
L |
3.0440485949694 |
L(r)(E,1)/r! |
Ω |
0.38050607358732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8690h3 |
Quadratic twists by: -4 |