Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715k |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26966016 |
Modular degree for the optimal curve |
Δ |
3.1096569696858E+23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-56566173,161537864278] |
[a1,a2,a3,a4,a6] |
j |
1616731009970176/25116328125 |
j-invariant |
L |
1.55200521235 |
L(r)(E,1)/r! |
Ω |
0.09700026246568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905h1 113715o1 |
Quadratic twists by: -3 -19 |