Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bn |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-82425517683750000 = -1 · 24 · 37 · 57 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177338,-31905708] |
[a1,a2,a3,a4,a6] |
Generators |
[682:12484:1] |
Generators of the group modulo torsion |
j |
-39473829220350169/5275233131760 |
j-invariant |
L |
12.269184036392 |
L(r)(E,1)/r! |
Ω |
0.11546457328009 |
Real period |
R |
0.94874369624384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690d1 |
Quadratic twists by: 5 |