Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255r |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-509355 = -1 · 33 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11+ -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-42,110] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
-884736/55 |
j-invariant |
L |
4.0460607823273 |
L(r)(E,1)/r! |
Ω |
2.8938162908166 |
Real period |
R |
0.34954368001584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24255j1 121275n1 24255e1 |
Quadratic twists by: -3 5 -7 |