Atkin-Lehner |
2+ 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9078a |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
490212 = 22 · 34 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-3:5:1] |
Generators of the group modulo torsion |
j |
1838265625/490212 |
j-invariant |
L |
3.5854076954225 |
L(r)(E,1)/r! |
Ω |
2.1663623908393 |
Real period |
R |
1.6550359767067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624x1 27234m1 |
Quadratic twists by: -4 -3 |