Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24885f |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-1690473049732215 = -1 · 311 · 5 · 72 · 794 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7560,-1992389] |
[a1,a2,a3,a4,a6] |
j |
-65553197996161/2318893072335 |
j-invariant |
L |
3.2974466205807 |
L(r)(E,1)/r! |
Ω |
0.2060904137863 |
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 |
8295c1 124425j1 |
Quadratic twists by: -3 5 |