Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810be |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-1676253862500 = -1 · 22 · 3 · 55 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 5 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3979,114602] |
[a1,a2,a3,a4,a6] |
j |
-53440955929/12862500 |
j-invariant |
L |
1.603863672462 |
L(r)(E,1)/r! |
Ω |
0.80193183042227 |
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 |
75810bx1 |
Quadratic twists by: -19 |