Atkin-Lehner |
3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387b |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3970068201 = 33 · 116 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-749,-7092] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:26:1] [-98:135:8] |
Generators of the group modulo torsion |
j |
970299/83 |
j-invariant |
L |
8.0338064023366 |
L(r)(E,1)/r! |
Ω |
0.91766671247747 |
Real period |
R |
8.7546015272995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90387d1 747b1 |
Quadratic twists by: -3 -11 |