Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fp |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
-3.1496352236473E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-894432,-913832656] |
[a1,a2,a3,a4,a6] |
Generators |
[291005:12261051:125] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
7.5963574485698 |
L(r)(E,1)/r! |
Ω |
0.070847237629494 |
Real period |
R |
4.4675685900064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5445l1 29040bz1 87120fv1 |
Quadratic twists by: -4 -3 -11 |