Atkin-Lehner |
3- 41- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24723f |
Isogeny class |
Conductor |
24723 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-14890585160232387 = -1 · 38 · 412 · 675 |
Discriminant |
Eigenvalues |
0 3- 2 -4 0 6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-345144,-78266147] |
[a1,a2,a3,a4,a6] |
j |
-6237307678681464832/20426042743803 |
j-invariant |
L |
1.9693110370444 |
L(r)(E,1)/r! |
Ω |
0.098465551852217 |
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 |
8241a1 |
Quadratic twists by: -3 |