Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446bz |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
8157920956416 = 212 · 34 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18327,-952659] |
[a1,a2,a3,a4,a6] |
j |
5786435182177/69341184 |
j-invariant |
L |
4.9274529700455 |
L(r)(E,1)/r! |
Ω |
0.41062108088446 |
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 |
1254i1 |
Quadratic twists by: -7 |