Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450o |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
2172851562500 = 22 · 514 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10463,404917] |
[a1,a2,a3,a4,a6] |
Generators |
[42:179:1] |
Generators of the group modulo torsion |
j |
8107275964969/139062500 |
j-invariant |
L |
3.4590396895372 |
L(r)(E,1)/r! |
Ω |
0.82430042211484 |
Real period |
R |
2.0981668798996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35600be1 40050j1 890c1 |
Quadratic twists by: -4 -3 5 |