Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094x |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21861969779232 = 25 · 36 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185334,-30662956] |
[a1,a2,a3,a4,a6] |
Generators |
[11743:-1277495:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
3.8165427438865 |
L(r)(E,1)/r! |
Ω |
0.23009727702152 |
Real period |
R |
8.2933244436035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5566i2 414d2 |
Quadratic twists by: -3 -11 |