Atkin-Lehner |
2+ 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050f |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
210970000000 = 27 · 57 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 3 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21901,1245448] |
[a1,a2,a3,a4,a6] |
j |
74347610643649/13502080 |
j-invariant |
L |
3.8779162202132 |
L(r)(E,1)/r! |
Ω |
0.96947905713747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410k1 |
Quadratic twists by: 5 |