Atkin-Lehner |
2+ 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630bh |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
186755803200 = 26 · 37 · 52 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1539,10773] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:174:1] [-18:189:1] |
Generators of the group modulo torsion |
j |
553185473329/256180800 |
j-invariant |
L |
8.8785693232644 |
L(r)(E,1)/r! |
Ω |
0.90360202764221 |
Real period |
R |
1.2282189852119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30210bi1 |
Quadratic twists by: -3 |