Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856b |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-26138902528 = -1 · 225 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -4 4 3 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,628,-4880] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3328:1] |
Generators of the group modulo torsion |
j |
104487111/99712 |
j-invariant |
L |
5.6273912300387 |
L(r)(E,1)/r! |
Ω |
0.64972430355504 |
Real period |
R |
2.1652996506501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856i1 1558b1 |
Quadratic twists by: -4 8 |