Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150w |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-156557205000000000 = -1 · 29 · 34 · 510 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -3 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-87826,21504548] |
[a1,a2,a3,a4,a6] |
j |
-7671598590625/16031457792 |
j-invariant |
L |
1.1528192584987 |
L(r)(E,1)/r! |
Ω |
0.2882048146247 |
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 |
72450ds1 24150bz1 |
Quadratic twists by: -3 5 |