Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150d |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
1.5437940507279E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77068400,-259758048000] |
[a1,a2,a3,a4,a6] |
j |
3239908336204082689644289/9880281924658790400 |
j-invariant |
L |
0.203854394378 |
L(r)(E,1)/r! |
Ω |
0.050963598594488 |
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 |
72450df1 4830bc1 |
Quadratic twists by: -3 5 |