Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150h |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-358331904000000000 = -1 · 218 · 33 · 59 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12000,28800000] |
[a1,a2,a3,a4,a6] |
j |
-12232183057921/22933241856000 |
j-invariant |
L |
0.97364232837649 |
L(r)(E,1)/r! |
Ω |
0.24341058209413 |
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 |
72450do1 4830bk1 |
Quadratic twists by: -3 5 |