Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bz |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.1779331395565E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-418338751,2992160392148] |
[a1,a2,a3,a4,a6] |
Generators |
[-18938:2039906:1] |
Generators of the group modulo torsion |
j |
4404531606962679693649/444872222400201750 |
j-invariant |
L |
6.7315297714302 |
L(r)(E,1)/r! |
Ω |
0.048769010710094 |
Real period |
R |
4.3134011171181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bn7 11550c8 |
Quadratic twists by: 5 -7 |