Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50460j |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
349309995257250000 = 24 · 34 · 56 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-623461,-187541536] |
[a1,a2,a3,a4,a6] |
Generators |
[-938080:-2200056:2197] |
Generators of the group modulo torsion |
j |
2816075628544/36703125 |
j-invariant |
L |
8.0016943114524 |
L(r)(E,1)/r! |
Ω |
0.17003551130191 |
Real period |
R |
5.8823699901036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1740a1 |
Quadratic twists by: 29 |