Atkin-Lehner |
2- 3- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290z |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
124928640000 = 210 · 32 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5050,-137500] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:50:1] |
Generators of the group modulo torsion |
j |
14243057298007201/124928640000 |
j-invariant |
L |
9.4973447816612 |
L(r)(E,1)/r! |
Ω |
0.5666385257008 |
Real period |
R |
0.41902131389298 |
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 |
84870d1 |
Quadratic twists by: -3 |