Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843c |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-1845922037246247051 = -1 · 36 · 79 · 137 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 2 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,38645,-65315391] |
[a1,a2,a3,a4,a6] |
j |
32768/9477 |
j-invariant |
L |
0.99169923237191 |
L(r)(E,1)/r! |
Ω |
0.12396240404649 |
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 |
74529u1 24843p1 1911a1 |
Quadratic twists by: -3 -7 13 |