Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bp |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4052145194251115052 = -1 · 22 · 3 · 76 · 132 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,396948,10836153] |
[a1,a2,a3,a4,a6] |
j |
58794439975721423/34442665847148 |
j-invariant |
L |
4.792232746635 |
L(r)(E,1)/r! |
Ω |
0.1497572743304 |
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 |
1482j6 |
Quadratic twists by: -7 |