Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900k |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6912972000000 = 28 · 33 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1904308,1012107112] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:43318:1] [522:12650:1] |
Generators of the group modulo torsion |
j |
190930594365830608/1728243 |
j-invariant |
L |
8.6498233146696 |
L(r)(E,1)/r! |
Ω |
0.52011427900785 |
Real period |
R |
2.7717701230159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036g2 |
Quadratic twists by: 5 |