Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804h |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-70899027697008 = -1 · 24 · 33 · 711 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4034,418293] |
[a1,a2,a3,a4,a6] |
Generators |
[27:573:1] |
Generators of the group modulo torsion |
j |
-3857721088/37664487 |
j-invariant |
L |
4.9847753638847 |
L(r)(E,1)/r! |
Ω |
0.52538544792831 |
Real period |
R |
4.7439221846986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6972d1 |
Quadratic twists by: -7 |