Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cf |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
21669120 |
Modular degree for the optimal curve |
Δ |
-3.5756378415495E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-685882138,-6914772538969] |
[a1,a2,a3,a4,a6] |
j |
-14899652746105/1492992 |
j-invariant |
L |
3.8941125674694 |
L(r)(E,1)/r! |
Ω |
0.014750426398508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150z1 54150be1 |
Quadratic twists by: 5 -19 |