Atkin-Lehner |
2- 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bf |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
205688868 = 22 · 3 · 74 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,2541] |
[a1,a2,a3,a4,a6] |
j |
5290763640625/205688868 |
j-invariant |
L |
3.5336184370159 |
L(r)(E,1)/r! |
Ω |
1.766809218508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774k1 |
Quadratic twists by: -3 |