Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715t |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-33350036787163845 = -1 · 310 · 5 · 74 · 196 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56790,-7089899] |
[a1,a2,a3,a4,a6] |
j |
590589719/972405 |
j-invariant |
L |
1.5532663940978 |
L(r)(E,1)/r! |
Ω |
0.19415834558851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37905k3 315b4 |
Quadratic twists by: -3 -19 |