Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834s |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11622550531917336 = -1 · 23 · 3 · 119 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13065,5156050] |
[a1,a2,a3,a4,a6] |
Generators |
[14780:353914:125] |
Generators of the group modulo torsion |
j |
139233463487/6560626776 |
j-invariant |
L |
4.0080955413823 |
L(r)(E,1)/r! |
Ω |
0.30545136671039 |
Real period |
R |
6.5609389549522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502cf2 3894o2 |
Quadratic twists by: -3 -11 |