Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2750312735704E+32 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4081250722,533923176517206] |
[a1,a2,a3,a4,a6] |
Generators |
[-5701216220251722809885351256568355897020:3756468024790351055125142014920613203210069:191140123717248247972996142242445632] |
Generators of the group modulo torsion |
j |
5821298902603944481896719/98727285861968994140625 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.013801993498034 |
Real period |
R |
55.156794027899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595d5 6435f6 |
Quadratic twists by: -3 -11 |