Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176j |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-12852289773568 = -1 · 213 · 75 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 2 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10331,439434] |
[a1,a2,a3,a4,a6] |
j |
-29770823556657/3137766058 |
j-invariant |
L |
1.3832543670742 |
L(r)(E,1)/r! |
Ω |
0.69162718354032 |
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 |
4522g1 |
Quadratic twists by: -4 |