Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450g |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
1112500000 = 25 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -6 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450,-3500] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:20:1] |
Generators of the group modulo torsion |
j |
25888585/2848 |
j-invariant |
L |
1.9046552621157 |
L(r)(E,1)/r! |
Ω |
1.0436646178905 |
Real period |
R |
0.60832290037304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600bi1 40050bk1 4450j1 |
Quadratic twists by: -4 -3 5 |