Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bo |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-2469640748400 = -1 · 24 · 32 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1665,71637] |
[a1,a2,a3,a4,a6] |
j |
12649337/61200 |
j-invariant |
L |
4.6797824587762 |
L(r)(E,1)/r! |
Ω |
0.58497280734703 |
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 |
74970bc1 124950db1 24990ca1 |
Quadratic twists by: -3 5 -7 |