Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ds |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
118886400 = 212 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-708,7232] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:120:1] [-11:117:1] |
Generators of the group modulo torsion |
j |
354894912/1075 |
j-invariant |
L |
9.7011458756522 |
L(r)(E,1)/r! |
Ω |
1.8718242410157 |
Real period |
R |
1.2956806607422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dw2 61920l1 123840ec2 |
Quadratic twists by: -4 8 -3 |