Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
125244a |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.616971217374E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14718375,-19713872178] |
[a1,a2,a3,a4,a6] |
Generators |
[34628598643915558985468751104959154:-1915519171907057876199476433604727029:5734971435422860055311949971208] |
Generators of the group modulo torsion |
j |
594817593750000/61013446081 |
j-invariant |
L |
7.7620782958887 |
L(r)(E,1)/r! |
Ω |
0.077589007029333 |
Real period |
R |
50.020476917942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125244c2 17892a2 |
Quadratic twists by: -3 -7 |