Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176bd |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-592707584 = -1 · 218 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 3 7- 4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1344,19456] |
[a1,a2,a3,a4,a6] |
j |
-65597103937/144704 |
j-invariant |
L |
3.2687093398751 |
L(r)(E,1)/r! |
Ω |
1.6343546699475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522e1 |
Quadratic twists by: -4 |