Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950x |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
1.9513993540766E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1476338,-158717969] |
[a1,a2,a3,a4,a6] |
j |
22775142322892242009/12488955866090000 |
j-invariant |
L |
10.539025192372 |
L(r)(E,1)/r! |
Ω |
0.14637534988537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790d1 |
Quadratic twists by: 5 |