Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176n |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
87151612018688 = 214 · 74 · 17 · 194 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17456,759892] |
[a1,a2,a3,a4,a6] |
j |
143622619359409/21277249028 |
j-invariant |
L |
2.3218855981867 |
L(r)(E,1)/r! |
Ω |
0.58047139954322 |
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 |
4522h1 |
Quadratic twists by: -4 |