Atkin-Lehner |
3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
115989n |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5207328 |
Modular degree for the optimal curve |
Δ |
291457755788145621 = 3 · 233 · 418 |
Discriminant |
Eigenvalues |
-2 3- 2 4 3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4525812,3704293796] |
[a1,a2,a3,a4,a6] |
j |
1283933360128/36501 |
j-invariant |
L |
3.4349713883353 |
L(r)(E,1)/r! |
Ω |
0.28624765261806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115989e1 |
Quadratic twists by: 41 |