Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050cf |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
76401188864000 = 216 · 53 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16840,-724213] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:265:1] |
Generators of the group modulo torsion |
j |
4224893664647781/611209510912 |
j-invariant |
L |
9.4511293358443 |
L(r)(E,1)/r! |
Ω |
0.42314381168181 |
Real period |
R |
0.34899221445489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50050z1 |
Quadratic twists by: 5 |