Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552ba |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-15441864942336 = -1 · 28 · 3 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25817,-1599219] |
[a1,a2,a3,a4,a6] |
Generators |
[295:-4046:1] |
Generators of the group modulo torsion |
j |
-307981312/2499 |
j-invariant |
L |
2.1993543503756 |
L(r)(E,1)/r! |
Ω |
0.1882267553296 |
Real period |
R |
1.4605750033592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104v1 2856i1 |
Quadratic twists by: -4 17 |