Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23660g |
Isogeny class |
Conductor |
23660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144144 |
Modular degree for the optimal curve |
Δ |
-53743146013160240 = -1 · 24 · 5 · 77 · 138 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23435,11075728] |
[a1,a2,a3,a4,a6] |
Generators |
[3609367972992:96063536606348:21694295069] |
Generators of the group modulo torsion |
j |
109051904/4117715 |
j-invariant |
L |
5.8623418879199 |
L(r)(E,1)/r! |
Ω |
0.26789678654441 |
Real period |
R |
21.882837653777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cz1 118300w1 23660e1 |
Quadratic twists by: -4 5 13 |