Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675y |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
595125 = 32 · 53 · 232 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 -3 -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-728,7808] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-8:1] |
Generators of the group modulo torsion |
j |
646172672/9 |
j-invariant |
L |
2.1159808225497 |
L(r)(E,1)/r! |
Ω |
2.6458199172426 |
Real period |
R |
0.19993620963756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025co1 39675bt1 39675x1 |
Quadratic twists by: -3 5 -23 |