Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255i |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
220114125 = 33 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-168,439] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
396361728/166375 |
j-invariant |
L |
4.0725400992395 |
L(r)(E,1)/r! |
Ω |
1.6018280768628 |
Real period |
R |
0.42373878508605 |
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 |
24255q2 121275y1 24255o1 |
Quadratic twists by: -3 5 -7 |