Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800o |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
503360 |
Modular degree for the optimal curve |
Δ |
4626121531250000 = 24 · 59 · 236 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44083,1422912] |
[a1,a2,a3,a4,a6] |
Generators |
[528184461:-30486951125:34965783] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
10.950350643587 |
L(r)(E,1)/r! |
Ω |
0.38622501909329 |
Real period |
R |
14.176128014373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105800bi1 200d1 |
Quadratic twists by: 5 -23 |