Atkin-Lehner |
2+ 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90896d |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
25561409536 = 211 · 134 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -1 2 -5 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2083,-35774] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:28:1] [-25:26:1] |
Generators of the group modulo torsion |
j |
488046912498/12481157 |
j-invariant |
L |
6.7604724371569 |
L(r)(E,1)/r! |
Ω |
0.70779042909845 |
Real period |
R |
0.59696982314799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45448e1 |
Quadratic twists by: -4 |