Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850by |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
156946707225000000 = 26 · 32 · 58 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3773026,2820488948] |
[a1,a2,a3,a4,a6] |
Generators |
[-843:73921:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
5.5784230938698 |
L(r)(E,1)/r! |
Ω |
0.30082925890868 |
Real period |
R |
2.3179357257411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bk2 11550f2 |
Quadratic twists by: 5 -7 |