Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150br |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-91287000000 = -1 · 26 · 34 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,14531] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-132:1] |
Generators of the group modulo torsion |
j |
-15625/5842368 |
j-invariant |
L |
7.1752694977543 |
L(r)(E,1)/r! |
Ω |
0.8534026306318 |
Real period |
R |
0.70065301342015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450bs1 966e1 |
Quadratic twists by: -3 5 |