Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24552v |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
222976240819504128 = 210 · 311 · 113 · 314 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-947235,-354113714] |
[a1,a2,a3,a4,a6] |
Generators |
[1970:73656:1] |
Generators of the group modulo torsion |
j |
125912671148474500/298697167593 |
j-invariant |
L |
4.7090764449451 |
L(r)(E,1)/r! |
Ω |
0.15305482636851 |
Real period |
R |
2.5639376842252 |
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 |
49104g1 8184h1 |
Quadratic twists by: -4 -3 |