Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ch |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
791285760 = 212 · 36 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,1305] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
601211584/193185 |
j-invariant |
L |
5.3166466296962 |
L(r)(E,1)/r! |
Ω |
1.4708152834411 |
Real period |
R |
1.8073808076305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880dm1 25440o1 |
Quadratic twists by: -4 8 |