Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bw |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
4217088000000 = 214 · 3 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7513,-230983] |
[a1,a2,a3,a4,a6] |
Generators |
[106:355:1] |
Generators of the group modulo torsion |
j |
3001563015625/269893632 |
j-invariant |
L |
11.898066520793 |
L(r)(E,1)/r! |
Ω |
0.51574500236103 |
Real period |
R |
1.647833503869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938c1 |
Quadratic twists by: 5 |