Atkin-Lehner |
5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24475a |
Isogeny class |
Conductor |
24475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
509003515625 = 58 · 114 · 89 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5088,-135833] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:84:1] |
Generators of the group modulo torsion |
j |
932288503609/32576225 |
j-invariant |
L |
1.3976531194386 |
L(r)(E,1)/r! |
Ω |
0.56649187254579 |
Real period |
R |
1.2336038583904 |
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 |
4895a1 |
Quadratic twists by: 5 |