Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430q |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11289600 |
Modular degree for the optimal curve |
Δ |
3.4662076576965E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88598821,308200413479] |
[a1,a2,a3,a4,a6] |
j |
16192145593815022369/729711914062500 |
j-invariant |
L |
2.5063481596225 |
L(r)(E,1)/r! |
Ω |
0.078323380009978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230i1 |
Quadratic twists by: 41 |