Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
24885l |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
661248 |
Modular degree for the optimal curve |
Δ |
3765999558111328125 = 320 · 59 · 7 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -5 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-398667,-25873043] |
[a1,a2,a3,a4,a6] |
j |
9612294052705767424/5165980189453125 |
j-invariant |
L |
3.6400471539934 |
L(r)(E,1)/r! |
Ω |
0.20222484188854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8295a1 124425s1 |
Quadratic twists by: -3 5 |