Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cp |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1360676490722656250 = 2 · 512 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-332813,48051367] |
[a1,a2,a3,a4,a6] |
j |
147281603041/49156250 |
j-invariant |
L |
3.9896398875256 |
L(r)(E,1)/r! |
Ω |
0.24935249254686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730n2 7150d2 |
Quadratic twists by: 5 -11 |