Atkin-Lehner |
2+ 3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
75696d |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12992 |
Modular degree for the optimal curve |
Δ |
-1211136 = -1 · 28 · 3 · 19 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 2 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,51] |
[a1,a2,a3,a4,a6] |
j |
-351232/4731 |
j-invariant |
L |
2.3163013721773 |
L(r)(E,1)/r! |
Ω |
2.3163013724898 |
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 |
37848a1 |
Quadratic twists by: -4 |