Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
178872385536000 = 224 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-569473,165597217] |
[a1,a2,a3,a4,a6] |
Generators |
[187:8100:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
4.6982363443415 |
L(r)(E,1)/r! |
Ω |
0.51318368214547 |
Real period |
R |
2.2887693568865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dn1 15600cy1 62400ih1 |
Quadratic twists by: -4 8 5 |