Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17800g |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
8900000000 = 28 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575,-2750] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:8:1] [-15:50:1] |
Generators of the group modulo torsion |
j |
5256144/2225 |
j-invariant |
L |
6.4844097939459 |
L(r)(E,1)/r! |
Ω |
1.0126216978828 |
Real period |
R |
1.6008964175627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35600a1 3560a1 |
Quadratic twists by: -4 5 |