Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048b |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
833934528 = 26 · 34 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7252,-235298] |
[a1,a2,a3,a4,a6] |
Generators |
[571893:23313970:343] |
Generators of the group modulo torsion |
j |
659139000645952/13030227 |
j-invariant |
L |
5.8665241249903 |
L(r)(E,1)/r! |
Ω |
0.51734544605404 |
Real period |
R |
11.339665144539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048z1 45024d4 |
Quadratic twists by: -4 8 |