Atkin-Lehner |
2- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50840k |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
98502500000000 = 28 · 510 · 312 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17300,-740000] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:310:1] [-82:366:1] |
Generators of the group modulo torsion |
j |
2236903039771216/384775390625 |
j-invariant |
L |
6.5030576134529 |
L(r)(E,1)/r! |
Ω |
0.42116853010303 |
Real period |
R |
0.77202558461145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680g1 |
Quadratic twists by: -4 |