Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920q |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56424600000000 = 29 · 38 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39027,2945446] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1750:1] |
Generators of the group modulo torsion |
j |
17612529277832/151171875 |
j-invariant |
L |
7.5083052161777 |
L(r)(E,1)/r! |
Ω |
0.63063069529808 |
Real period |
R |
1.4882532026949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920ca3 123840bu4 20640t2 |
Quadratic twists by: -4 8 -3 |