Atkin-Lehner |
3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
78045c |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
4608479205 = 311 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 11- 6 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-535,3651] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:87:1] |
Generators of the group modulo torsion |
j |
140220399616/38086605 |
j-invariant |
L |
4.3504086778131 |
L(r)(E,1)/r! |
Ω |
1.2831443565019 |
Real period |
R |
3.3904280966506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78045f1 |
Quadratic twists by: -11 |