Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600be |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
873463808000000 = 226 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24008,-176012] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
1.6605727238558 |
L(r)(E,1)/r! |
Ω |
0.41514318096309 |
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 |
5950b1 1904a1 |
Quadratic twists by: -4 5 |