Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bm |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
617263200000000 = 211 · 33 · 58 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25263,-990219] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:690:1] |
Generators of the group modulo torsion |
j |
4564776495505/1580193792 |
j-invariant |
L |
10.818243463973 |
L(r)(E,1)/r! |
Ω |
0.38939219157031 |
Real period |
R |
1.2628356415609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550ba1 |
Quadratic twists by: 5 |